From the CoinWeek IQ Encyclopedia:
2 Euro Cent (2002-Present)
Slightly larger in size and double in “value” than the diminutive 1 cent coin, the 2 euro cent sees slightly more demand based on a quick survey of mintages. The 2 euro cent has little purchasing power but is favored by Germany and a handful of other Eurozone countries, which object to the idea of allowing merchants to round up to the nearest five cents.
The 2 euro cent has been in continuous production at the Austrian Mint since its introduction in 2002.
Composition: copper-plated steel | Weight: 3.06 grams | Size: 18.75mm
National Side (Side Unique to the Issuing Country)
Designer: Josef Kaiser
Edelweiss (Leontopodium alpinum) flower, centered. Inscription reads: ZWEI EURO CENT (Two Euro Cent). Date located to the bottom right of the flower. The arced flag of Austria is positioned below the flower and the date.
Central devices and inscription encircled by an inner border. Stars representing each of the original 12 member states of the Eurozone circle the perimeter of the coin and are bordered by a raised outer rim.
Designer: Luc Luycx (View Designer’s Profile)
Denomination represented by large numeral “2” and the inscription EURO CENT, all italicized. To the bottom right is a globe, focused on the continent of Europe. Granulated topography individuates Europe from the visible landmasses of Africa and Asia. Behind the Earth are 12 line segments (or six lines divided in two) with a star at each far end. The designer’s initials “LL” appear to the right of the Earth. Design encircled by a raised rim.
The Austrian Mint strikes the two euro cent in three unique finishes: a business strike intended for general circulation; a satin finish specimen strike produced for collector sets; and proofs, which are sold in annual proof sets.
CoinWeek Austria 2 Euro Cent Business Strike Price Guide
CoinWeek Austria 2 Euro Cent Satin Finish (Mint Set) Price Guide
CoinWeek Austria 2 Euro Cent Proof Coinage Price Guide