2317952000 has 352 divisors, whose sum is σ = 7153036800. Its totient is φ = 729907200.

The previous prime is 2317951997. The next prime is 2317952003. The reversal of 2317952000 is 2597132.

It is an interprime number because it is at equal distance from previous prime (2317951997) and next prime (2317952003).

It is not an unprimeable number, because it can be changed into a prime (2317952003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11647901 + ... + 11648099.

Almost surely, 2^2317952000 is an apocalyptic number.

2317952000 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 2317952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576518400).

2317952000 is an abundant number, since it is smaller than the sum of its proper divisors (4835084800).

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

2317952000 is a wasteful number, since it uses less digits than its factorization.

2317952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 2317952000 is about 48145.1139784714. The cubic root of 2317952000 is about 1323.4315367371.

The spelling of 2317952000 in words is "two billion, three hundred seventeen million, nine hundred fifty-two thousand".