2113583340 has 96 divisors (see below), whose sum is σ = 6552532224. Its totient is φ = 504725760.

The previous prime is 2113583299. The next prime is 2113583341. The reversal of 2113583340 is 433853112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2113583298 and 2113583307.

It is not an unprimeable number, because it can be changed into a prime (2113583341) 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, 20322 + ... + 68118.

It is an arithmetic number, because the mean of its divisors is an integer number (68255544).

Almost surely, 2^2113583340 is an apocalyptic number.

2113583340 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 2113583340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276266112).

2113583340 is an abundant number, since it is smaller than the sum of its proper divisors (4438948884).

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

2113583340 is a wasteful number, since it uses less digits than its factorization.

2113583340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47887 (or 47885 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2113583340 is about 45973.7244521259. The cubic root of 2113583340 is about 1283.3342716959.

The spelling of 2113583340 in words is "two billion, one hundred thirteen million, five hundred eighty-three thousand, three hundred forty".