2156468160 has 224 divisors, whose sum is σ = 8536545792. Its totient is φ = 448081920.

The previous prime is 2156468141. The next prime is 2156468177. The reversal of 2156468160 is 618646512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59334 + ... + 88506.

Almost surely, 2^2156468160 is an apocalyptic number.

2156468160 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 2156468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268272896).

2156468160 is an abundant number, since it is smaller than the sum of its proper divisors (6380077632).

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

2156468160 is a wasteful number, since it uses less digits than its factorization.

2156468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29211 (or 29201 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2156468160 is about 46437.7880610177. The cubic root of 2156468160 is about 1291.9558816452.

The spelling of 2156468160 in words is "two billion, one hundred fifty-six million, four hundred sixty-eight thousand, one hundred sixty".