2182152960 has 360 divisors, whose sum is σ = 8413962480. Its totient is φ = 536813568.

The previous prime is 2182152923. The next prime is 2182153027. The reversal of 2182152960 is 692512812.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 1347031 + ... + 1348649.

It is an arithmetic number, because the mean of its divisors is an integer number (23372118).

Almost surely, 2^2182152960 is an apocalyptic number.

2182152960 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 2182152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206981240).

2182152960 is an abundant number, since it is smaller than the sum of its proper divisors (6231809520).

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

2182152960 is a wasteful number, since it uses less digits than its factorization.

2182152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2182152960 is about 46713.5200985753. The cubic root of 2182152960 is about 1297.0649682602.

The spelling of 2182152960 in words is "two billion, one hundred eighty-two million, one hundred fifty-two thousand, nine hundred sixty".