2556404032 has 112 divisors (see below), whose sum is σ = 6302369920. Its totient is φ = 1001797632.

The previous prime is 2556404021. The next prime is 2556404047. The reversal of 2556404032 is 2304046552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2556403985 and 2556404003.

It is a congruent number.

It is an unprimeable number.

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, 632803 + ... + 636829.

It is an arithmetic number, because the mean of its divisors is an integer number (56271160).

Almost surely, 2^2556404032 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 2556404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151184960).

2556404032 is an abundant number, since it is smaller than the sum of its proper divisors (3745965888).

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

2556404032 is a wasteful number, since it uses less digits than its factorization.

2556404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2556404032 is about 50560.8942958884. The cubic root of 2556404032 is about 1367.3399344082.

The spelling of 2556404032 in words is "two billion, five hundred fifty-six million, four hundred four thousand, thirty-two".