2556697104 has 240 divisors, whose sum is σ = 7981082928. Its totient is φ = 759103488.

The previous prime is 2556697081. The next prime is 2556697127. The reversal of 2556697104 is 4017966552.

2556697104 is a `hidden beast` number, since 2 + 556 + 6 + 97 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2556697081) and next prime (2556697127).

It can be written as a sum of positive squares in 8 ways, for example, as 22581504 + 2534115600 = 4752^2 + 50340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2556697104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7242592 + ... + 7242944.

Almost surely, 2^2556697104 is an apocalyptic number.

2556697104 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 2556697104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990541464).

2556697104 is an abundant number, since it is smaller than the sum of its proper divisors (5424385824).

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

2556697104 is a wasteful number, since it uses less digits than its factorization.

2556697104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2556697104 is about 50563.7924210596. The cubic root of 2556697104 is about 1367.3921840698.

It can be divided in two parts, 2556697 and 104, that added together give a square (2556801 = 1599²).

The spelling of 2556697104 in words is "two billion, five hundred fifty-six million, six hundred ninety-seven thousand, one hundred four".