2314002242400 has 72 divisors (see below), whose sum is σ = 7532077306824. Its totient is φ = 617067264000.

The previous prime is 2314002242389. The next prime is 2314002242413. The reversal of 2314002242400 is 42422004132.

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 11 ways as a sum of consecutive naturals, for example, 482081401 + ... + 482086200.

It is an arithmetic number, because the mean of its divisors is an integer number (104612184817).

Almost surely, 2^{2314002242400} is an apocalyptic number.

2314002242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314002242400 is an abundant number, since it is smaller than the sum of its proper divisors (5218075064424).

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

2314002242400 is a wasteful number, since it uses less digits than its factorization.

2314002242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964167624 (or 964167611 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2314002242400 its reverse (42422004132), we get a palindrome (2356424246532).

The spelling of 2314002242400 in words is "two trillion, three hundred fourteen billion, two million, two hundred forty-two thousand, four hundred".