2160585940032 has 336 divisors, whose sum is σ = 6819436216320. Its totient is φ = 649996959744.

The previous prime is 2160585940027. The next prime is 2160585940043. The reversal of 2160585940032 is 2300495850612.

2160585940032 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 58 + 594 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×2160585940032² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2160585940032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60267969 + ... + 60303807.

It is an arithmetic number, because the mean of its divisors is an integer number (20295941120).

Almost surely, 2^{2160585940032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160585940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409718108160).

2160585940032 is an abundant number, since it is smaller than the sum of its proper divisors (4658850276288).

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

2160585940032 is a wasteful number, since it uses less digits than its factorization.

2160585940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36050 (or 36037 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2160585940032 in words is "two trillion, one hundred sixty billion, five hundred eighty-five million, nine hundred forty thousand, thirty-two".