2556742608 has 240 divisors, whose sum is σ = 8939713536. Its totient is φ = 665210880.

The previous prime is 2556742553. The next prime is 2556742621. The reversal of 2556742608 is 8062476552.

2556742608 is a `hidden beast` number, since 2 + 556 + 74 + 26 + 0 + 8 = 666.

It is a congruent number.

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, 528810 + ... + 533622.

Almost surely, 2^2556742608 is an apocalyptic number.

2556742608 is a gapful number since it is divisible by the number (28) 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 2556742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469856768).

2556742608 is an abundant number, since it is smaller than the sum of its proper divisors (6382970928).

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

2556742608 is a wasteful number, since it uses less digits than its factorization.

2556742608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2556742608 is about 50564.2423853062. The cubic root of 2556742608 is about 1367.4002962868.

The spelling of 2556742608 in words is "two billion, five hundred fifty-six million, seven hundred forty-two thousand, six hundred eight".