2556535104 has 84 divisors (see below), whose sum is σ = 7403552884. Its totient is φ = 843374592.

The previous prime is 2556535099. The next prime is 2556535141. The reversal of 2556535104 is 4015356552.

2556535104 is a `hidden beast` number, since 2 + 556 + 53 + 51 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 792535104 + 1764000000 = 28152^2 + 42000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32994 + ... + 78750.

Almost surely, 2^2556535104 is an apocalyptic number.

2556535104 is a gapful number since it is divisible by the number (24) 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 2556535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701776442).

2556535104 is an abundant number, since it is smaller than the sum of its proper divisors (4847017780).

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

2556535104 is a wasteful number, since it uses less digits than its factorization.

2556535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45872 (or 45859 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2556535104 is about 50562.1904588794. The cubic root of 2556535104 is about 1367.3633027692.

The spelling of 2556535104 in words is "two billion, five hundred fifty-six million, five hundred thirty-five thousand, one hundred four".