2556016452 has 96 divisors (see below), whose sum is σ = 7328415360. Its totient is φ = 763914240.

The previous prime is 2556016451. The next prime is 2556016493. The reversal of 2556016452 is 2546106552.

2556016452 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 0 + 1 + 645 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2556016451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71988 + ... + 101460.

It is an arithmetic number, because the mean of its divisors is an integer number (76337660).

Almost surely, 2^2556016452 is an apocalyptic number.

2556016452 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 2556016452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664207680).

2556016452 is an abundant number, since it is smaller than the sum of its proper divisors (4772398908).

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

2556016452 is a wasteful number, since it uses less digits than its factorization.

2556016452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29570 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2556016452 is about 50557.0613465617. The cubic root of 2556016452 is about 1367.2708294741.

The spelling of 2556016452 in words is "two billion, five hundred fifty-six million, sixteen thousand, four hundred fifty-two".