2314224400 has 120 divisors (see below), whose sum is σ = 5774979584. Its totient is φ = 890265600.

The previous prime is 2314224379. The next prime is 2314224443. The reversal of 2314224400 is 44224132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2392717 + ... + 2393683.

Almost surely, 2^2314224400 is an apocalyptic number.

2314224400 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 2314224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887489792).

2314224400 is an abundant number, since it is smaller than the sum of its proper divisors (3460755184).

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

2314224400 is a wasteful number, since it uses less digits than its factorization.

2314224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2314224400 is about 48106.3862704319. The cubic root of 2314224400 is about 1322.7217333985.

Adding to 2314224400 its reverse (44224132), we get a palindrome (2358448532).

The spelling of 2314224400 in words is "two billion, three hundred fourteen million, two hundred twenty-four thousand, four hundred".