[6] According to the 2010 census, Orleans has a total area of 1.71 square miles (4.43 km2), all land.

[7] As of the census[9] of 2010, there were 2,142 people, 904 households, and 581 families living in the town.

There were 1,000 housing units at an average density of 584.8 per square mile (225.8/km2).

31.5% of all households were made up of individuals, and 15.8% had someone living alone who was 65 years of age or older.

As of the census of 2000, there were 2,273 people, 922 households, and 614 families living in the town.

There were 992 housing units at an average density of 632.5 per square mile (244.2/km2).

30.0% of all households were made up of individuals, and 16.8% had someone living alone who was 65 years of age or older.