2882

2882 is a natural number that follows 2881 and precedes 2883. In mathematics, it is an even composite number with prime factorization 2 × 11 × 131, making it square-free and having eight positive divisors.

The divisors of 2882 are 1, 2, 11, 22, 131, 262, 1441, and 2882. The Euler totient function yields φ(2882) = 1300, and the sum of its positive divisors is σ(2882) = 4752.

In different numeral systems, 2882 is represented as decimal 2882; in binary it is 101101000010; in octal it is 5502; in hexadecimal it is B42; and in Roman numerals it is MMDCCCLXXXII.

As a calendar year, 2882 would occur in the distant future under the Gregorian system, with no widely recognized historical events associated with it. The number is also used as a designation in various catalogs, product codes, or model numbers, reflecting its role as a basic integer that can serve as an identifier in non-mathematical contexts.