As you've seen in posts from many other people, a bill's serial number doesn't help to ID it. It's a bit like trying to ID the make of a car based on its color.
If the bill has a green seal and a date of 1976 or later, it's worth no more than $3 retail; a dealer will pay face value only.
If the bill is earlier than that please post a new question giving the bill's seal color, date and what letter, if any, appears next to the date.
The ones with a green seal, series 1976-present are only worth $2 unless in absolute crisp uncirculated, or with an unusual serial number (55555555555, 111111111111111, etc.). The earlier ones (often found with a red seal) are worth a small premium regardless of condition and earlier ones can be worth a decent amount of money if uncirculated.
Uncirculated ones sell for $5 and more on eBay. If they have a star they sell higher. If the serial number has repeating numbers that could be used in Liar's Poker, they sell higher, too. However any 1995 $2 bill that you get in circulation is only worth face value.
Face value.
A more useful bit of information to determine the bill's value is the series (date) on it, rather than the serial number. Now if it's a series 1976 or later, it's worth $2.
$5 to $10 depending on condition. Also, a bill's serial number almost never affects its worth. The date, series letter, and condition are the major factors determining value.
In circulated condition it's worth about $10 A nice crisp uncirculated one is worth about $40
Less than 11% of all the 1957 series Silver Certificates have the star by the serial no. If your Silver Certificate is in choice crisp condition it is worth $40.00. In circulated condition, it's worth about $5.00
No way to assess worth with only the serial number.
how much is a Winchester 1859 worth with the serial number 2330126
Unless it is in crisp condition a 2001 is not worth keeping.
A perfect uncirculated note with a 7-digit serial number is worth $10. Ones with only 6-digits are worth $30. ($0.50 and $2 in Very Good, crisp used condition).
Impossible to value with only the serial number.
Impossible to value a weapon from only the serial number.
What would a Martin custom acoustic serial number 1419578 be worth
$100 because it's not rare or very old Auction prices as of 03/2009 are slightly above face value for a crisp circulated specimen. Uncirculated it could bring up to $120. Note that a bill's serial number is just a counter and generally doesn't help to identify it or affect its value. There are collectors who will pay a premium for bills with low or patterned serial numbers; e.g. 12345678 or 00000005.
You need to provide the series, but in general red seal $2 bills are worth about $3 if circulated and up to $10 or so if in crisp uncirculated condition. The serial number is nothing fancy (your bill would be worth more if it was something unusual like a really low number 000000000003 or something or really high 999999999991 or all the same number 44444444444) and so it doesn't add any value, but an earlier series might make it be worth more.
Impossible to value with only the serial number and no other information.