While the idea would seem absurd to us nowadays; there did exist a 2 Cent coin. This coin was minted in 1864, following the passage of the Coinage Act and ceased production in 1873. The coins weren't incredibly popular as the 1 Cent piece/Penny became more and more available, lowering the need for the coin.
Nowadays they're uncommon. Even in poor conditions, the 2 Cent piece goes for $15 - $25 and in better conditions can easily fetch $25 - $200. The rarer coins can fetch from $100 in poor conditions to $1,500+ in mint conditions.
My wife actually owns one of these and it's a pretty neat coin, in my opinion. The design reminds me of the Shield Nickel that was produced at the same time.
