02916 -- U.S. ZIP code Municipality (1990): RUMFORD, Rhode Island All ZIPs for this municipality (1990): 02916 Population (2000): 8176 Housing Units (2000): 3641 Land area (2000): 2.599741 sq. miles (6.733298 sq. km) Water area (2000): 0.384983 sq. miles (0.997101 sq. km) Total area (2000): 2.984724 sq. miles (7.730399 sq. km) Located within: Rhode Island (RI) Location: 41.843250 N, 71.353914 W