2556848592 has 200 divisors, whose sum is σ = 7717577472. Its totient is φ = 816480000.

The previous prime is 2556848587. The next prime is 2556848641. The reversal of 2556848592 is 2958486552.

2556848592 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 8 + 48 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6912000) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3404217 + ... + 3404967.

Almost surely, 2^2556848592 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 2556848592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858788736).

2556848592 is an abundant number, since it is smaller than the sum of its proper divisors (5160728880).

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

2556848592 is a wasteful number, since it uses less digits than its factorization.

2556848592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 2556848592 is about 50565.2903877749. The cubic root of 2556848592 is about 1367.4191901911.

The spelling of 2556848592 in words is "two billion, five hundred fifty-six million, eight hundred forty-eight thousand, five hundred ninety-two".