2136716560 has 160 divisors (see below), whose sum is σ = 5692135680. Its totient is φ = 738355200.

The previous prime is 2136716521. The next prime is 2136716567. The reversal of 2136716560 is 656176312.

It is not an unprimeable number, because it can be changed into a prime (2136716567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4634730 + ... + 4635190.

It is an arithmetic number, because the mean of its divisors is an integer number (35575848).

Almost surely, 2^2136716560 is an apocalyptic number.

2136716560 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 2136716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846067840).

2136716560 is an abundant number, since it is smaller than the sum of its proper divisors (3555419120).

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

2136716560 is a wasteful number, since it uses less digits than its factorization.

2136716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 2136716560 is about 46224.6315290885. The cubic root of 2136716560 is about 1287.9993345161. Note that the first 3 decimals are identical.

The spelling of 2136716560 in words is "two billion, one hundred thirty-six million, seven hundred sixteen thousand, five hundred sixty".