2687256 has 160 divisors (see below), whose sum is σ = 9147600. Its totient is φ = 725760.

The previous prime is 2687249. The next prime is 2687257. The reversal of 2687256 is 6527862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2687256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92650 + ... + 92678.

2^2687256 is an apocalyptic number.

2687256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573800).

2687256 is an abundant number, since it is smaller than the sum of its proper divisors (6460344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2687256 is a wasteful number, since it uses less digits than its factorization.

2687256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2687256 is about 1639.2852100840. The cubic root of 2687256 is about 139.0282364182.

Subtracting 2687256 from its reverse (6527862), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 2687256 in words is "two million, six hundred eighty-seven thousand, two hundred fifty-six".