As of the census of 2000, there were 2,470 people, 1,023 households, and 652 families living in the Deep River Center CDP. The population density was 943.2 inhabitants per square mile (364.0/km2). There were 1,077 housing units at an average density of . The racial makeup of the CDP was 92.19% White, 3.72% African American, 0.08% Native American, 0.61% Asian, 0.04% Pacific Islander, 1.94% from other races, and 1.42% from two or more races. Hispanic or Latino of any race were 3.81% of the population.
