2561188160 has 56 divisors (see below), whose sum is σ = 6105622536. Its totient is φ = 1023334400.

The previous prime is 2561188141. The next prime is 2561188213. The reversal of 2561188160 is 618811652.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 2555504704 = 2384^2 + 50552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320210 + ... + 328110.

Almost surely, 2^2561188160 is an apocalyptic number.

2561188160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561188160 is an abundant number, since it is smaller than the sum of its proper divisors (3544434376).

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

2561188160 is a wasteful number, since it uses less digits than its factorization.

2561188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 2561188160 is about 50608.1827375771. The cubic root of 2561188160 is about 1368.1923626306.

The spelling of 2561188160 in words is "two billion, five hundred sixty-one million, one hundred eighty-eight thousand, one hundred sixty".