2556441052 has 48 divisors (see below), whose sum is σ = 4990857984. Its totient is φ = 1145482800.

The previous prime is 2556441049. The next prime is 2556441059. The reversal of 2556441052 is 2501446552.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2556440999 and 2556441017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556441059) 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 15 ways as a sum of consecutive naturals, for example, 374623 + ... + 381385.

It is an arithmetic number, because the mean of its divisors is an integer number (103976208).

Almost surely, 2^2556441052 is an apocalyptic number.

2556441052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2556441052 is a deficient number, since it is larger than the sum of its proper divisors (2434416932).

2556441052 is a wasteful number, since it uses less digits than its factorization.

2556441052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2556441052 is about 50561.2603877712. The cubic root of 2556441052 is about 1367.3465346534.

The spelling of 2556441052 in words is "two billion, five hundred fifty-six million, four hundred forty-one thousand, fifty-two".