2161800576 has 320 divisors, whose sum is σ = 7108498320. Its totient is φ = 647958528.

The previous prime is 2161800547. The next prime is 2161800617. The reversal of 2161800576 is 6750081612.

2161800576 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 80 + 0 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2161800576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5795526 + ... + 5795898.

Almost surely, 2^2161800576 is an apocalyptic number.

2161800576 is a gapful number since it is divisible by the number (26) 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 2161800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554249160).

2161800576 is an abundant number, since it is smaller than the sum of its proper divisors (4946697744).

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

2161800576 is a wasteful number, since it uses less digits than its factorization.

2161800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2161800576 is about 46495.1672327351. The cubic root of 2161800576 is about 1293.0199016107.

The spelling of 2161800576 in words is "two billion, one hundred sixty-one million, eight hundred thousand, five hundred seventy-six".