2314915200 has 576 divisors, whose sum is σ = 9265292400. Its totient is φ = 567336960.

The previous prime is 2314915181. The next prime is 2314915219. The reversal of 2314915200 is 25194132.

It is an interprime number because it is at equal distance from previous prime (2314915181) and next prime (2314915219).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10108686 + ... + 10108914.

Almost surely, 2^2314915200 is an apocalyptic number.

2314915200 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 2314915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632646200).

2314915200 is an abundant number, since it is smaller than the sum of its proper divisors (6950377200).

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

2314915200 is a wasteful number, since it uses less digits than its factorization.

2314915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2314915200 is about 48113.5656546051. The cubic root of 2314915200 is about 1322.8533318829.

The spelling of 2314915200 in words is "two billion, three hundred fourteen million, nine hundred fifteen thousand, two hundred".