2157814080 has 560 divisors, whose sum is σ = 8364565440. Its totient is φ = 525975552.

The previous prime is 2157814067. The next prime is 2157814091. The reversal of 2157814080 is 804187512.

2157814080 is a `hidden beast` number, since 2 + 1 + 578 + 1 + 4 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25997719 + ... + 25997801.

It is an arithmetic number, because the mean of its divisors is an integer number (14936724).

Almost surely, 2^2157814080 is an apocalyptic number.

2157814080 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 2157814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182282720).

2157814080 is an abundant number, since it is smaller than the sum of its proper divisors (6206751360).

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

2157814080 is a wasteful number, since it uses less digits than its factorization.

2157814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2157814080 is about 46452.2774468594. The cubic root of 2157814080 is about 1292.2246092584.

The spelling of 2157814080 in words is "two billion, one hundred fifty-seven million, eight hundred fourteen thousand, eighty".