2160264960 has 648 divisors, whose sum is σ = 8996747760. Its totient is φ = 476872704.

The previous prime is 2160264959. The next prime is 2160264971. The reversal of 2160264960 is 694620612.

2160264960 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 2 + 649 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24272596 + ... + 24272684.

It is an arithmetic number, because the mean of its divisors is an integer number (13883870).

Almost surely, 2^2160264960 is an apocalyptic number.

2160264960 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 2160264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498373880).

2160264960 is an abundant number, since it is smaller than the sum of its proper divisors (6836482800).

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

2160264960 is a wasteful number, since it uses less digits than its factorization.

2160264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2160264960 is about 46478.6505828214. The cubic root of 2160264960 is about 1292.7136673225.

The spelling of 2160264960 in words is "two billion, one hundred sixty million, two hundred sixty-four thousand, nine hundred sixty".