As of the 2000 United States Census, there were 2,753 people, 1,158 households, and 787 families in the county. The population density was 2 people per square mile (1/km2). There were 1,610 housing units at an average density of 1.27 per square mile (0.49/km2). The racial makeup of the county was 99.49% White, 0.18% Black or African American, 0.11% Native American, 0.07% Asian, and 0.15% from two or more races. 0.58% of the population were Hispanic or Latino of any race. 64.2% were of German and 15.4% Norwegian ancestry.