2556734544 has 600 divisors, whose sum is σ = 9818017440. Its totient is φ = 634894848.

The previous prime is 2556734527. The next prime is 2556734599. The reversal of 2556734544 is 4454376552.

2556734544 is a `hidden beast` number, since 2 + 5 + 567 + 3 + 45 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2556734544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15685407 + ... + 15685569.

Almost surely, 2^2556734544 is an apocalyptic number.

2556734544 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 2556734544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909008720).

2556734544 is an abundant number, since it is smaller than the sum of its proper divisors (7261282896).

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

2556734544 is a wasteful number, since it uses less digits than its factorization.

2556734544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The square root of 2556734544 is about 50564.1626450988. The cubic root of 2556734544 is about 1367.3988586857.

The spelling of 2556734544 in words is "two billion, five hundred fifty-six million, seven hundred thirty-four thousand, five hundred forty-four".