Is 2 euro always worth 2 euro?

In most cases your 2 euro coin will be just worth 2 euro. But because there are many different faces and dates of mintage on the coins. Some are very interesting for coin collectors because of the limited amount minted or a production error.

For example:

The Vatican 2 Euro coin from 2002.
Depending on the condition collectors could pay up to 300 euro for it.

Latvia from 2016.
Depending on the condition collectors could pay up to 150 euro for it.

Monaco 1 Euro Coin 2007 without mintmark next to the year of manufacture.
Depending on the condition collectors could pay up to 400 euro for it.

You happened to have went on a trip to Italy?
This 1 euro cent coin from 2002 mistakenly has the face of a 2 cent coin.
Depending on the condition collectors could pay up to 6600 euro for it!!!!!!

And so on. There are many different coins that could be sold for more than their actual value and there is a chance you get them as change on a purchase.
You might even have one in your wallet already!