2314413200 has 120 divisors (see below), whose sum is σ = 6166022016. Its totient is φ = 827712000.

The previous prime is 2314413191. The next prime is 2314413217. The reversal of 2314413200 is 23144132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264089 + ... + 272711.

Almost surely, 2^2314413200 is an apocalyptic number.

2314413200 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 2314413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083011008).

2314413200 is an abundant number, since it is smaller than the sum of its proper divisors (3851608816).

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

2314413200 is a wasteful number, since it uses less digits than its factorization.

2314413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2314413200 is about 48108.3485478352. The cubic root of 2314413200 is about 1322.7577026952.

Adding to 2314413200 its reverse (23144132), we get a palindrome (2337557332).

2314413200 divided by its reverse (23144132) gives a square (100 = 10²).

It can be divided in two parts, 2314 and 413200, that added together give a palindrome (415514).

The spelling of 2314413200 in words is "two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred".