2556077472 has 240 divisors, whose sum is σ = 8360174592. Its totient is φ = 760803840.

The previous prime is 2556077437. The next prime is 2556077477. The reversal of 2556077472 is 2747706552.

2556077472 is a `hidden beast` number, since 2 + 55 + 60 + 77 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (2556077477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1043353 + ... + 1045799.

Almost surely, 2^2556077472 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 2556077472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180087296).

2556077472 is an abundant number, since it is smaller than the sum of its proper divisors (5804097120).

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

2556077472 is a wasteful number, since it uses less digits than its factorization.

2556077472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 2556077472 is about 50557.6648194910. The cubic root of 2556077472 is about 1367.2817097121.

The spelling of 2556077472 in words is "two billion, five hundred fifty-six million, seventy-seven thousand, four hundred seventy-two".