2559152772 has 48 divisors (see below), whose sum is σ = 7238011200. Its totient is φ = 775500480.

The previous prime is 2559152747. The next prime is 2559152809. The reversal of 2559152772 is 2772519552.

2559152772 is a `hidden beast` number, since 2 + 5 + 59 + 1 + 527 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075897 + ... + 1078272.

It is an arithmetic number, because the mean of its divisors is an integer number (150791900).

Almost surely, 2^2559152772 is an apocalyptic number.

2559152772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2559152772 is an abundant number, since it is smaller than the sum of its proper divisors (4678858428).

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

2559152772 is a wasteful number, since it uses less digits than its factorization.

2559152772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154193 (or 2154185 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 2559152772 is about 50588.0694630661. The cubic root of 2559152772 is about 1367.8298303257.

The spelling of 2559152772 in words is "two billion, five hundred fifty-nine million, one hundred fifty-two thousand, seven hundred seventy-two".