There is no such coin. Pennies (to use the common term) are worth 1 cent and there were two-cent pieces during the 19th century that were worth, well, 2 cents. They're not the same. A "2 cent penny" is like saying "a twenty-cent dime".
If you have a 2-cent piece that's about the size of a quarter with a shield design on the front, please post a new question that includes its date and how worn it is. Those details are necessary to be able to estimate its value.
It's a 2 cent piece not a 2 penny coin:The 1864 2 cent piece has values of $35.00- $80.00 in average circulated condition
What is the value of a 2 cent Franklin unused postal postcard?
It's worth about 2 cents for the copper.
They are still in circulation and are only face value.
No such coin. A penny is one cent so a 2 cent penny does not exist. There are US Two- Cent pieces but a date is needed.
One cent
1 cent
1 cent
one cent
One cent.
....1 cent.
a wheat penny from 1953 is worth 2 to 3 times its value, right now worth 0.02 cents