2136892160 has 144 divisors (see below), whose sum is σ = 5618579904. Its totient is φ = 773799936.

The previous prime is 2136892157. The next prime is 2136892169. The reversal of 2136892160 is 612986312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2136892169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880709 + ... + 883131.

It is an arithmetic number, because the mean of its divisors is an integer number (39017916).

Almost surely, 2^2136892160 is an apocalyptic number.

2136892160 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 2136892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809289952).

2136892160 is an abundant number, since it is smaller than the sum of its proper divisors (3481687744).

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

2136892160 is a wasteful number, since it uses less digits than its factorization.

2136892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2136892160 is about 46226.5309102900. The cubic root of 2136892160 is about 1288.0346170756.

The spelling of 2136892160 in words is "two billion, one hundred thirty-six million, eight hundred ninety-two thousand, one hundred sixty".