2561749031160 has 192 divisors, whose sum is σ = 9616833514080. Its totient is φ = 584498872320.

The previous prime is 2561749031119. The next prime is 2561749031183. The reversal of 2561749031160 is 611309471652.

2561749031160 is a `hidden beast` number, since 2 + 561 + 7 + 49 + 0 + 31 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18959337 + ... + 19093976.

Almost surely, 2^{2561749031160} is an apocalyptic number.

2561749031160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561749031160 is an abundant number, since it is smaller than the sum of its proper divisors (7055084482920).

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

2561749031160 is a wasteful number, since it uses less digits than its factorization.

2561749031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38053358 (or 38053351 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2561749031160 in words is "two trillion, five hundred sixty-one billion, seven hundred forty-nine million, thirty-one thousand, one hundred sixty".