2313642240 has 432 divisors, whose sum is σ = 9856723968. Its totient is φ = 487931904.

The previous prime is 2313642239. The next prime is 2313642241. The reversal of 2313642240 is 422463132.

2313642240 is a `hidden beast` number, since 2 + 3 + 13 + 642 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2313642239) and next prime (2313642241).

It is not an unprimeable number, because it can be changed into a prime (2313642241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047217 + ... + 1049423.

Almost surely, 2^2313642240 is an apocalyptic number.

2313642240 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 2313642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928361984).

2313642240 is an abundant number, since it is smaller than the sum of its proper divisors (7543081728).

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

2313642240 is a wasteful number, since it uses less digits than its factorization.

2313642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2313642240 is about 48100.3351339676. The cubic root of 2313642240 is about 1322.6108106688.

The spelling of 2313642240 in words is "two billion, three hundred thirteen million, six hundred forty-two thousand, two hundred forty".