2307613640 has 64 divisors (see below), whose sum is σ = 5302162800. Its totient is φ = 903565312.

The previous prime is 2307613577. The next prime is 2307613687. The reversal of 2307613640 is 463167032.

It can be written as a sum of positive squares in 8 ways, for example, as 1311453796 + 996159844 = 36214^2 + 31562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2307613597 and 2307613606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205324 + ... + 1207236.

Almost surely, 2^2307613640 is an apocalyptic number.

2307613640 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 2307613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651081400).

2307613640 is an abundant number, since it is smaller than the sum of its proper divisors (2994549160).

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

2307613640 is a wasteful number, since it uses less digits than its factorization.

2307613640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 2307613640 is about 48037.6273352463. The cubic root of 2307613640 is about 1321.4610467625.

The spelling of 2307613640 in words is "two billion, three hundred seven million, six hundred thirteen thousand, six hundred forty".