Batavia is a city in Genesee County, New York, USA, located near the middle of Genesee County and in the western part of the Town of Batavia. Its population as of the 2000 census was 16,256. The name Batavia is Latin for the Betuwe region of the Netherlands. Batavia apartments for rent comparison page shows most up to date rent information on Batavia apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.