2556360 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 679104.

The previous prime is 2556331. The next prime is 2556373. The reversal of 2556360 is 636552.

2556360 is a `hidden beast` number, since 25 + 5 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9589 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2556360 is an apocalyptic number.

2556360 is a gapful number since it is divisible by the number (20) 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 2556360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2556360 is an abundant number, since it is smaller than the sum of its proper divisors (6092280).

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

2556360 is a wasteful number, since it uses less digits than its factorization.

2556360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2556360 is about 1598.8620953666. The cubic root of 2556360 is about 136.7332083920.

It can be divided in two parts, 2556 and 360, that added together give a square (2916 = 54²).

The spelling of 2556360 in words is "two million, five hundred fifty-six thousand, three hundred sixty".