2588256 has 144 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 725760.

The previous prime is 2588249. The next prime is 2588263. The reversal of 2588256 is 6528852.

It is an interprime number because it is at equal distance from previous prime (2588249) and next prime (2588263).

It is a tau number, because it is divible by the number of its divisors (144).

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 2588256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60171 + ... + 60213.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2^2588256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2588256 is an abundant number, since it is smaller than the sum of its proper divisors (6060384).

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

2588256 is a wasteful number, since it uses less digits than its factorization.

2588256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2588256 is about 1608.8057682641. The cubic root of 2588256 is about 137.2995381910.

The spelling of 2588256 in words is "two million, five hundred eighty-eight thousand, two hundred fifty-six".