2113188000 has 384 divisors, whose sum is σ = 8634802176. Its totient is φ = 438912000.

The previous prime is 2113187987. The next prime is 2113188017. The reversal of 2113188000 is 8813112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922857 + ... + 925143.

It is an arithmetic number, because the mean of its divisors is an integer number (22486464).

Almost surely, 2^2113188000 is an apocalyptic number.

2113188000 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 2113188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317401088).

2113188000 is an abundant number, since it is smaller than the sum of its proper divisors (6521614176).

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

2113188000 is a wasteful number, since it uses less digits than its factorization.

2113188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 2113188000 is about 45969.4246211544. The cubic root of 2113188000 is about 1283.2542519812.

The spelling of 2113188000 in words is "two billion, one hundred thirteen million, one hundred eighty-eight thousand".