2556612828 has 288 divisors, whose sum is σ = 8645978880. Its totient is φ = 645563520.

The previous prime is 2556612823. The next prime is 2556612829. The reversal of 2556612828 is 8282166552.

It is a happy number.

2556612828 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 612 + 8 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556612823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2153251 + ... + 2154437.

It is an arithmetic number, because the mean of its divisors is an integer number (30020760).

Almost surely, 2^2556612828 is an apocalyptic number.

2556612828 is a gapful number since it is divisible by the number (28) 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 2556612828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322989440).

2556612828 is an abundant number, since it is smaller than the sum of its proper divisors (6089366052).

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

2556612828 is a wasteful number, since it uses less digits than its factorization.

2556612828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2556612828 is about 50562.9590510682. The cubic root of 2556612828 is about 1367.3771595277.

The spelling of 2556612828 in words is "two billion, five hundred fifty-six million, six hundred twelve thousand, eight hundred twenty-eight".