As of the 2000 United States Census, there were 2,509 people, 890 households, and 669 families in the county. The population density was 1.02/sqmi (0.39/km2). There were 1,329 housing units at an average density of 0.54/sqmi (0.21/km2). The racial makeup of the county was 97.29% White, 0.16% Black or African American, 0.36% Native American, 0.08% Asian, 0.16% Pacific Islander, 1.24% from other races, and 0.72% from two or more races. 1.99% of the population were Hispanic or Latino of any race.