2166312960 has 624 divisors, whose sum is σ = 9077462784. Its totient is φ = 467140608.

The previous prime is 2166312923. The next prime is 2166312961. The reversal of 2166312960 is 692136612.

It is a happy number.

2166312960 is a `hidden beast` number, since 2 + 16 + 631 + 2 + 9 + 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 not an unprimeable number, because it can be changed into a prime (2166312961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29675484 + ... + 29675556.

It is an arithmetic number, because the mean of its divisors is an integer number (14547216).

Almost surely, 2^2166312960 is an apocalyptic number.

2166312960 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 2166312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538731392).

2166312960 is an abundant number, since it is smaller than the sum of its proper divisors (6911149824).

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

2166312960 is a wasteful number, since it uses less digits than its factorization.

2166312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2166312960 is about 46543.6672384117. The cubic root of 2166312960 is about 1293.9189280222.

The spelling of 2166312960 in words is "two billion, one hundred sixty-six million, three hundred twelve thousand, nine hundred sixty".