As of the census of 2000, 2,975 people, 1,052 households, and 797 families resided in the county. The population density was less than 1/km2 (1/sq mi). The 1,321 housing units were at a density less than one per square mile (0/km2). The racial makeup of the county was 68.94% White, 0.71% African American, 0.47% Native American, 0.57% Asian, 27.13% from other races, and 2.18% from two or more races. About 72.24% of the population were Hispanic or Latino of any race.