2149156800 has 840 divisors, whose sum is σ = 9512295936. Its totient is φ = 465315840.

The previous prime is 2149156799. The next prime is 2149156873. The reversal of 2149156800 is 86519412.

2149156800 is a `hidden beast` number, since 2 + 1 + 4 + 91 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 20865549 + ... + 20865651.

Almost surely, 2^2149156800 is an apocalyptic number.

2149156800 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 2149156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756147968).

2149156800 is an abundant number, since it is smaller than the sum of its proper divisors (7363139136).

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

2149156800 is a wasteful number, since it uses less digits than its factorization.

2149156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2149156800 is about 46358.9991263832. Note that the first 3 decimals coincide. The cubic root of 2149156800 is about 1290.4941319543.

The spelling of 2149156800 in words is "two billion, one hundred forty-nine million, one hundred fifty-six thousand, eight hundred".