2160906400 has 72 divisors (see below), whose sum is σ = 5289973920. Its totient is φ = 861960960.

The previous prime is 2160906379. The next prime is 2160906401. The reversal of 2160906400 is 46090612.

It is not an unprimeable number, because it can be changed into a prime (2160906401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299637 + ... + 306763.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 2^2160906400 is an apocalyptic number.

2160906400 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 2160906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644986960).

2160906400 is an abundant number, since it is smaller than the sum of its proper divisors (3129067520).

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

2160906400 is a wasteful number, since it uses less digits than its factorization.

2160906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2160906400 is about 46485.5504431216. The cubic root of 2160906400 is about 1292.8416016597.

The spelling of 2160906400 in words is "two billion, one hundred sixty million, nine hundred six thousand, four hundred".