2163432960 has 480 divisors, whose sum is σ = 8364964608. Its totient is φ = 513146880.

The previous prime is 2163432949. The next prime is 2163432961. The reversal of 2163432960 is 692343612.

2163432960 is a `hidden beast` number, since 2 + 163 + 432 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (2163432961) 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, 9285004 + ... + 9285236.

Almost surely, 2^2163432960 is an apocalyptic number.

2163432960 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 2163432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182482304).

2163432960 is an abundant number, since it is smaller than the sum of its proper divisors (6201531648).

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

2163432960 is a wasteful number, since it uses less digits than its factorization.

2163432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2163432960 is about 46512.7182607080. The cubic root of 2163432960 is about 1293.3452745086.

The spelling of 2163432960 in words is "two billion, one hundred sixty-three million, four hundred thirty-two thousand, nine hundred sixty".