2314368000 has 792 divisors, whose sum is σ = 9938250504. Its totient is φ = 516096000.

The previous prime is 2314367987. The next prime is 2314368037. The reversal of 2314368000 is 8634132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 522031104 + 1792336896 = 22848^2 + 42336^2 .

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, 56447980 + ... + 56448020.

Almost surely, 2^2314368000 is an apocalyptic number.

2314368000 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 2314368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969125252).

2314368000 is an abundant number, since it is smaller than the sum of its proper divisors (7623882504).

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

2314368000 is a wasteful number, since it uses less digits than its factorization.

2314368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2314368000 is about 48107.8787726085. The cubic root of 2314368000 is about 1322.7490915798.

The spelling of 2314368000 in words is "two billion, three hundred fourteen million, three hundred sixty-eight thousand".