2130577635312 has 120 divisors (see below), whose sum is σ = 6896568841344. Its totient is φ = 601402269312.

The previous prime is 2130577635311. The next prime is 2130577635391. The reversal of 2130577635312 is 2135367750312.

2130577635312 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 5 + 7 + 7 + 635 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×2130577635312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130577635311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12649278 + ... + 12816605.

Almost surely, 2^{2130577635312} is an apocalyptic number.

It is an amenable number.

2130577635312 is an abundant number, since it is smaller than the sum of its proper divisors (4765991206032).

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

2130577635312 is a wasteful number, since it uses less digits than its factorization.

2130577635312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25465987 (or 25465978 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 2130577635312 in words is "two trillion, one hundred thirty billion, five hundred seventy-seven million, six hundred thirty-five thousand, three hundred twelve".