2314430400 has 168 divisors, whose sum is σ = 7755575040. Its totient is φ = 603991040.

The previous prime is 2314430369. The next prime is 2314430411. The reversal of 2314430400 is 40344132.

2314430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 220471 + ... + 230729.

Almost surely, 2^2314430400 is an apocalyptic number.

2314430400 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 2314430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

2314430400 is an abundant number, since it is smaller than the sum of its proper divisors (5441144640).

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

2314430400 is a wasteful number, since it uses less digits than its factorization.

2314430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2314430400 is about 48108.5273106546. The cubic root of 2314430400 is about 1322.7609794618.

Adding to 2314430400 its reverse (40344132), we get a palindrome (2354774532).

The spelling of 2314430400 in words is "two billion, three hundred fourteen million, four hundred thirty thousand, four hundred".