2317472640 has 1024 divisors, whose sum is σ = 10575360000. Its totient is φ = 476872704.

The previous prime is 2317472603. The next prime is 2317472669. The reversal of 2317472640 is 462747132.

2317472640 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 4 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2317472595 and 2317472604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100759669 + ... + 100759691.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^2317472640 is an apocalyptic number.

2317472640 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 2317472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

2317472640 is an abundant number, since it is smaller than the sum of its proper divisors (8257887360).

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

2317472640 is a wasteful number, since it uses less digits than its factorization.

2317472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2317472640 is about 48140.1354381144. The cubic root of 2317472640 is about 1323.3403004679.

The spelling of 2317472640 in words is "two billion, three hundred seventeen million, four hundred seventy-two thousand, six hundred forty".