2113883112 has 128 divisors (see below), whose sum is σ = 5946969600. Its totient is φ = 620524800.

The previous prime is 2113883099. The next prime is 2113883113.

2113883112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2113883112² = 8937003622397609088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2113883112.

It is not an unprimeable number, because it can be changed into a prime (2113883113) 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, 3701787 + ... + 3702357.

It is an arithmetic number, because the mean of its divisors is an integer number (46460700).

Almost surely, 2^2113883112 is an apocalyptic number.

2113883112 is a gapful number since it is divisible by the number (22) 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 2113883112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973484800).

2113883112 is an abundant number, since it is smaller than the sum of its proper divisors (3833086488).

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

2113883112 is a wasteful number, since it uses less digits than its factorization.

2113883112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 2113883112 is about 45976.9845901186. The cubic root of 2113883112 is about 1283.3949410952.

The spelling of 2113883112 in words is "two billion, one hundred thirteen million, eight hundred eighty-three thousand, one hundred twelve".