2556253836 has 96 divisors (see below), whose sum is σ = 6876979200. Its totient is φ = 820169280.

The previous prime is 2556253823. The next prime is 2556253849. The reversal of 2556253836 is 6383526552.

2556253836 is a `hidden beast` number, since 2 + 5 + 562 + 5 + 3 + 83 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2556253823) and next prime (2556253849).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2556253791 and 2556253800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198491 + ... + 1200621.

It is an arithmetic number, because the mean of its divisors is an integer number (71635200).

Almost surely, 2^2556253836 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 2556253836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438489600).

2556253836 is an abundant number, since it is smaller than the sum of its proper divisors (4320725364).

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

2556253836 is a wasteful number, since it uses less digits than its factorization.

2556253836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 2556253836 is about 50559.4089759760. The cubic root of 2556253836 is about 1367.3131555151.

The spelling of 2556253836 in words is "two billion, five hundred fifty-six million, two hundred fifty-three thousand, eight hundred thirty-six".