2556409608 has 24 divisors (see below), whose sum is σ = 6923609550. Its totient is φ = 852136512.

The previous prime is 2556409601. The next prime is 2556409619. The reversal of 2556409608 is 8069046552.

2556409608 is a `hidden beast` number, since 2 + 556 + 4 + 0 + 96 + 0 + 8 = 666.

2556409608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2511813924 + 44595684 = 50118^2 + 6678^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2556409601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17752773 + ... + 17752916.

Almost surely, 2^2556409608 is an apocalyptic number.

It is an amenable number.

2556409608 is an abundant number, since it is smaller than the sum of its proper divisors (4367199942).

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

2556409608 is a wasteful number, since it uses less digits than its factorization.

2556409608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35505701 (or 35505694 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2556409608 is about 50560.9494372881. The cubic root of 2556409608 is about 1367.3409285497.

It can be divided in two parts, 2556 and 409608, that added together give a square (412164 = 642²).

The spelling of 2556409608 in words is "two billion, five hundred fifty-six million, four hundred nine thousand, six hundred eight".