What is the value of a 2 cent penny?

Answer 1

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.