2556972 has 54 divisors (see below), whose sum is σ = 7116564. Its totient is φ = 773520.

The previous prime is 2556943. The next prime is 2556977. The reversal of 2556972 is 2796552.

2556972 is a `hidden beast` number, since 25 + 569 + 72 = 666.

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

It is a d-powerful number, because it can be written as 2³ + 5⁷ + 5⁹ + 6⁴ + 9² + 7² + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2556977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4063 + ... + 4649.

2^2556972 is an apocalyptic number.

2556972 is a gapful number since it is divisible by the number (22) 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 2556972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558282).

2556972 is an abundant number, since it is smaller than the sum of its proper divisors (4559592).

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

2556972 is a wasteful number, since it uses less digits than its factorization.

2556972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2556972 is about 1599.0534700253. The cubic root of 2556972 is about 136.7441189636.

It can be divided in two parts, 255 and 6972, that added together give a palindrome (7227).

The spelling of 2556972 in words is "two million, five hundred fifty-six thousand, nine hundred seventy-two".