As of the 2000 United States Census, there were 2,714 people, 1,077 households, and 734 families in the county. The population density was 5 people per square mile (2/km2). There were 1,199 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 97.94% White, 0.66% Black or African American, 0.07% Native American, 0.07% Asian, 0.77% from other races, and 0.48% from two or more races. 0.85% of the population were Hispanic or Latino of any race.