2172360960 has 864 divisors, whose sum is σ = 9795502080. Its totient is φ = 431308800.

The previous prime is 2172360923. The next prime is 2172360977. The reversal of 2172360960 is 690632712.

2172360960 is a `hidden beast` number, since 21 + 7 + 23 + 609 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498201 + ... + 27498279.

Almost surely, 2^2172360960 is an apocalyptic number.

2172360960 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 2172360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897751040).

2172360960 is an abundant number, since it is smaller than the sum of its proper divisors (7623141120).

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

2172360960 is a wasteful number, since it uses less digits than its factorization.

2172360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2172360960 is about 46608.5931991087. The cubic root of 2172360960 is about 1295.1219475407.

The spelling of 2172360960 in words is "two billion, one hundred seventy-two million, three hundred sixty thousand, nine hundred sixty".