2316470400 has 384 divisors, whose sum is σ = 8608228800. Its totient is φ = 615859200.

The previous prime is 2316470363. The next prime is 2316470407. The reversal of 2316470400 is 40746132.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2316470400² = 10732070228152320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2316470407) 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, 6998235 + ... + 6998565.

Almost surely, 2^2316470400 is an apocalyptic number.

2316470400 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 2316470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304114400).

2316470400 is an abundant number, since it is smaller than the sum of its proper divisors (6291758400).

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

2316470400 is an frugal number, since it uses more digits than its factorization.

2316470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2316470400 is about 48129.7247031395. The cubic root of 2316470400 is about 1323.1495041377.

The spelling of 2316470400 in words is "two billion, three hundred sixteen million, four hundred seventy thousand, four hundred".