2113662600 has 672 divisors, whose sum is σ = 8945112000. Its totient is φ = 453496320.

The previous prime is 2113662589. The next prime is 2113662613. The reversal of 2113662600 is 62663112.

2113662600 is a `hidden beast` number, since 2 + 1 + 1 + 36 + 626 + 0 + 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 167 ways as a sum of consecutive naturals, for example, 19391346 + ... + 19391454.

Almost surely, 2^2113662600 is an apocalyptic number.

2113662600 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 2113662600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472556000).

2113662600 is an abundant number, since it is smaller than the sum of its proper divisors (6831449400).

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

2113662600 is a wasteful number, since it uses less digits than its factorization.

2113662600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2113662600 is about 45974.5864581727. The cubic root of 2113662600 is about 1283.3503133002.

The spelling of 2113662600 in words is "two billion, one hundred thirteen million, six hundred sixty-two thousand, six hundred".