2113505640 has 96 divisors (see below), whose sum is σ = 6932039400. Its totient is φ = 558420480.

The previous prime is 2113505629. The next prime is 2113505651. The reversal of 2113505640 is 465053112.

2113505640 is a `hidden beast` number, since 2 + 1 + 13 + 5 + 0 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2113505629) and next prime (2113505651).

It can be written as a sum of positive squares in 4 ways, for example, as 2090867076 + 22638564 = 45726^2 + 4758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12310 + ... + 66170.

Almost surely, 2^2113505640 is an apocalyptic number.

2113505640 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 2113505640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466019700).

2113505640 is an abundant number, since it is smaller than the sum of its proper divisors (4818533760).

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

2113505640 is a wasteful number, since it uses less digits than its factorization.

2113505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53987 (or 53980 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2113505640 is about 45972.8793964442. The cubic root of 2113505640 is about 1283.3185454341.

Adding to 2113505640 its reverse (465053112), we get a palindrome (2578558752).

The spelling of 2113505640 in words is "two billion, one hundred thirteen million, five hundred five thousand, six hundred forty".