2161558080 has 504 divisors, whose sum is σ = 8498872512. Its totient is φ = 499968000.

The previous prime is 2161558067. The next prime is 2161558081. The reversal of 2161558080 is 808551612.

2161558080 is a `hidden beast` number, since 21 + 6 + 1 + 558 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2161558081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30444445 + ... + 30444515.

Almost surely, 2^2161558080 is an apocalyptic number.

2161558080 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 2161558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249436256).

2161558080 is an abundant number, since it is smaller than the sum of its proper divisors (6337314432).

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

2161558080 is a wasteful number, since it uses less digits than its factorization.

2161558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 2161558080 is about 46492.5594047047. The cubic root of 2161558080 is about 1292.9715524271.

The spelling of 2161558080 in words is "two billion, one hundred sixty-one million, five hundred fifty-eight thousand, eighty".