Uruguay Business Directory: URY is the ISO 3 alphabet country code of Uruguay. Currency of Uruguay is $, which has a short code of UYI. Capital of Uruguay is Montevideo. Uruguay has the population of 3469551 and approximate area is 176215.00 square kilometers (or approx. 109500.001 square miles). Population density of Uruguay is approx. 19/Km2 (or approx. 11.8066/mile2)