2136879360 has 864 divisors, whose sum is σ = 9656183040. Its totient is φ = 437944320.

The previous prime is 2136879347. The next prime is 2136879361. The reversal of 2136879360 is 639786312.

2136879360 is a `hidden beast` number, since 213 + 6 + 8 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (2136879361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272284 + ... + 29272356.

Almost surely, 2^2136879360 is an apocalyptic number.

2136879360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828091520).

2136879360 is an abundant number, since it is smaller than the sum of its proper divisors (7519303680).

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

2136879360 is a wasteful number, since it uses less digits than its factorization.

2136879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

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

The square root of 2136879360 is about 46226.3924614500. The cubic root of 2136879360 is about 1288.0320452915.

The spelling of 2136879360 in words is "two billion, one hundred thirty-six million, eight hundred seventy-nine thousand, three hundred sixty".