2561190072 has 32 divisors (see below), whose sum is σ = 7317686400. Its totient is φ = 731768544.

The previous prime is 2561190041. The next prime is 2561190083. The reversal of 2561190072 is 2700911652.

It is a super-2 number, since 2×2561190072² = 13119389169822730368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7622422 + ... + 7622757.

It is an arithmetic number, because the mean of its divisors is an integer number (228677700).

Almost surely, 2^2561190072 is an apocalyptic number.

It is an amenable number.

2561190072 is an abundant number, since it is smaller than the sum of its proper divisors (4756496328).

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

2561190072 is a wasteful number, since it uses less digits than its factorization.

2561190072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15245195 (or 15245191 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 2561190072 is about 50608.2016277994. The cubic root of 2561190072 is about 1368.1927030954.

The spelling of 2561190072 in words is "two billion, five hundred sixty-one million, one hundred ninety thousand, seventy-two".