2314012400 has 120 divisors (see below), whose sum is σ = 6441221664. Its totient is φ = 782438400.

The previous prime is 2314012357. The next prime is 2314012439. The reversal of 2314012400 is 42104132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198740 + ... + 210060.

Almost surely, 2^2314012400 is an apocalyptic number.

2314012400 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 2314012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220610832).

2314012400 is an abundant number, since it is smaller than the sum of its proper divisors (4127209264).

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

2314012400 is a wasteful number, since it uses less digits than its factorization.

2314012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2314012400 is about 48104.1827703163. The cubic root of 2314012400 is about 1322.6813418140.

Adding to 2314012400 its reverse (42104132), we get a palindrome (2356116532).

The spelling of 2314012400 in words is "two billion, three hundred fourteen million, twelve thousand, four hundred".