2314210404200 has 96 divisors (see below), whose sum is σ = 5513342670360. Its totient is φ = 902849126400.

The previous prime is 2314210404161. The next prime is 2314210404227. The reversal of 2314210404200 is 24040124132.

It can be written as a sum of positive squares in 12 ways, for example, as 91672095076 + 2222538309124 = 302774^2 + 1490818^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30113024 + ... + 30189776.

Almost surely, 2^{2314210404200} is an apocalyptic number.

2314210404200 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 2314210404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756671335180).

2314210404200 is an abundant number, since it is smaller than the sum of its proper divisors (3199132266160).

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

2314210404200 is a wasteful number, since it uses less digits than its factorization.

2314210404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80487 (or 80478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2314210404200 its reverse (24040124132), we get a palindrome (2338250528332).

The spelling of 2314210404200 in words is "two trillion, three hundred fourteen billion, two hundred ten million, four hundred four thousand, two hundred".