2313106560 has 192 divisors, whose sum is σ = 8139226680. Its totient is φ = 605110272.

The previous prime is 2313106501. The next prime is 2313106567. The reversal of 2313106560 is 656013132.

2313106560 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1350121536 + 962985024 = 36744^2 + 31032^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2313106567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301492 + ... + 309068.

Almost surely, 2^2313106560 is an apocalyptic number.

2313106560 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 2313106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069613340).

2313106560 is an abundant number, since it is smaller than the sum of its proper divisors (5826120120).

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

2313106560 is a wasteful number, since it uses less digits than its factorization.

2313106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2313106560 is about 48094.7664512471. The cubic root of 2313106560 is about 1322.5087276366.

Adding to 2313106560 its reverse (656013132), we get a palindrome (2969119692).

The spelling of 2313106560 in words is "two billion, three hundred thirteen million, one hundred six thousand, five hundred sixty".