As of the census of 2000, there were 2,406 people, 858 households, and 638 families residing in the county. The population density was 4 people per square mile (1/km2). There were 1,007 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 84.41% White, 0.62% Black or African American, 1.21% Native American, 0.17% Asian, 12.51% from other races, and 1.08% from two or more races. 23.69% of the population were Hispanic or Latino of any race.