2538

2538 is a natural number that follows 2537 and precedes 2539. It is even and composite, with a prime factorization of 2 × 3^3 × 47.

Its divisors are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, and 2538, for a total of 16 divisors. This makes 2538 a highly divisible number within its range and reflects its factorization into two relatively small primes and a larger prime.

In terms of divisibility, 2538 is divisible by 3 and 9, since the sum of its digits is 18. It is also divisible by 27, with 2538 ÷ 27 = 94. The number is thus divisible by 3^3 and by 47, among other combinations.

From a number-theoretic perspective, 2538 is an abundant number: the sum of its positive divisors is 5760, which exceeds 2538. The sum of its proper divisors is 3222, giving an abundance of 684.

In different representations, 2538 is written in Roman numerals as MMDXXXVIII, and in binary as 100111101010.

As a year, 2538 CE would fall in the 26th century.