2113732800 has 336 divisors, whose sum is σ = 7791480480. Its totient is φ = 557383680.

The previous prime is 2113732793. The next prime is 2113732813. The reversal of 2113732800 is 82373112.

2113732800 is a `hidden beast` number, since 2 + 11 + 373 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4881384 + ... + 4881816.

It is an arithmetic number, because the mean of its divisors is an integer number (23188930).

Almost surely, 2^2113732800 is an apocalyptic number.

2113732800 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 2113732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895740240).

2113732800 is an abundant number, since it is smaller than the sum of its proper divisors (5677747680).

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

2113732800 is a wasteful number, since it uses less digits than its factorization.

2113732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2113732800 is about 45975.3499171023. The cubic root of 2113732800 is about 1283.3645208965.

The spelling of 2113732800 in words is "two billion, one hundred thirteen million, seven hundred thirty-two thousand, eight hundred".