2156716800 has 432 divisors, whose sum is σ = 9043310080. Its totient is φ = 492687360.

The previous prime is 2156716799. The next prime is 2156716813. The reversal of 2156716800 is 86176512.

2156716800 is a `hidden beast` number, since 2 + 1 + 567 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1208709 + ... + 1210491.

Almost surely, 2^2156716800 is an apocalyptic number.

2156716800 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 2156716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521655040).

2156716800 is an abundant number, since it is smaller than the sum of its proper divisors (6886593280).

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

2156716800 is a wasteful number, since it uses less digits than its factorization.

2156716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1800 counting only the distinct ones).

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

The square root of 2156716800 is about 46440.4651139499. The cubic root of 2156716800 is about 1292.0055337525.

The spelling of 2156716800 in words is "two billion, one hundred fifty-six million, seven hundred sixteen thousand, eight hundred".