2314675600 has 120 divisors (see below), whose sum is σ = 5909342760. Its totient is φ = 869621760.

The previous prime is 2314675591. The next prime is 2314675607. The reversal of 2314675600 is 65764132.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 295936 + 2314379664 = 544^2 + 48108^2 .

It is not an unprimeable number, because it can be changed into a prime (2314675607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426504 + ... + 431896.

It is an arithmetic number, because the mean of its divisors is an integer number (49244523).

Almost surely, 2^2314675600 is an apocalyptic number.

2314675600 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 2314675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954671380).

2314675600 is an abundant number, since it is smaller than the sum of its proper divisors (3594667160).

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

2314675600 is a wasteful number, since it uses less digits than its factorization.

2314675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2314675600 is about 48111.0756479212. The cubic root of 2314675600 is about 1322.8076906726.

The spelling of 2314675600 in words is "two billion, three hundred fourteen million, six hundred seventy-five thousand, six hundred".