2136379680 has 72 divisors (see below), whose sum is σ = 7290400572. Its totient is φ = 569700864.

The previous prime is 2136379669. The next prime is 2136379697. The reversal of 2136379680 is 869736312.

2136379680 is a `hidden beast` number, since 2 + 1 + 3 + 637 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2015291664 + 121088016 = 44892^2 + 11004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740359 + ... + 743238.

Almost surely, 2^2136379680 is an apocalyptic number.

2136379680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136379680 is an abundant number, since it is smaller than the sum of its proper divisors (5154020892).

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

2136379680 is a wasteful number, since it uses less digits than its factorization.

2136379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483618 (or 1483607 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2136379680 is about 46220.9874407720. The cubic root of 2136379680 is about 1287.9316412417.

The spelling of 2136379680 in words is "two billion, one hundred thirty-six million, three hundred seventy-nine thousand, six hundred eighty".