2316345600 has 216 divisors, whose sum is σ = 7692896512. Its totient is φ = 613785600.

The previous prime is 2316345589. The next prime is 2316345601. The reversal of 2316345600 is 65436132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2316345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4281330 + ... + 4281870.

Almost surely, 2^2316345600 is an apocalyptic number.

2316345600 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 2316345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846448256).

2316345600 is an abundant number, since it is smaller than the sum of its proper divisors (5376550912).

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

2316345600 is a wasteful number, since it uses less digits than its factorization.

2316345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2316345600 is about 48128.4281895846. The cubic root of 2316345600 is about 1323.1257421212.

The spelling of 2316345600 in words is "two billion, three hundred sixteen million, three hundred forty-five thousand, six hundred".