2113759920 has 160 divisors (see below), whose sum is σ = 6775441344. Its totient is φ = 544768000.

The previous prime is 2113759919. The next prime is 2113759927. The reversal of 2113759920 is 299573112.

It is not an unprimeable number, because it can be changed into a prime (2113759927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110970 + ... + 1112870.

Almost surely, 2^2113759920 is an apocalyptic number.

2113759920 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 2113759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387720672).

2113759920 is an abundant number, since it is smaller than the sum of its proper divisors (4661681424).

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

2113759920 is a wasteful number, since it uses less digits than its factorization.

2113759920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 2113759920 is about 45975.6448568152. The cubic root of 2113759920 is about 1283.3700095588.

The spelling of 2113759920 in words is "two billion, one hundred thirteen million, seven hundred fifty-nine thousand, nine hundred twenty".