2314330042200 has 768 divisors, whose sum is σ = 8322607319040. Its totient is φ = 526860288000.

The previous prime is 2314330042187. The next prime is 2314330042229. The reversal of 2314330042200 is 22400334132.

It is a super-2 number, since 2×2314330042200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971182209 + ... + 971184591.

It is an arithmetic number, because the mean of its divisors is an integer number (10836728280).

Almost surely, 2^{2314330042200} is an apocalyptic number.

2314330042200 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 2314330042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161303659520).

2314330042200 is an abundant number, since it is smaller than the sum of its proper divisors (6008277276840).

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

2314330042200 is a wasteful number, since it uses less digits than its factorization.

2314330042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2314330042200 its reverse (22400334132), we get a palindrome (2336730376332).

The spelling of 2314330042200 in words is "two trillion, three hundred fourteen billion, three hundred thirty million, forty-two thousand, two hundred".