2430314222401 has 32 divisors (see below), whose sum is σ = 2744266501760. Its totient is φ = 2150152475328.

The previous prime is 2430314222393. The next prime is 2430314222419. The reversal of 2430314222401 is 1042224130342.

It is not a de Polignac number, because 2430314222401 - 2³ = 2430314222393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2430314222401.

It is not an unprimeable number, because it can be changed into a prime (2430314222471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5223250 + ... + 5669476.

It is an arithmetic number, because the mean of its divisors is an integer number (85758328180).

Almost surely, 2^{2430314222401} is an apocalyptic number.

It is an amenable number.

2430314222401 is a deficient number, since it is larger than the sum of its proper divisors (313952279359).

2430314222401 is an equidigital number, since it uses as much as digits as its factorization.

2430314222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446370 (or 446344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2430314222401 its reverse (1042224130342), we get a palindrome (3472538352743).

The spelling of 2430314222401 in words is "two trillion, four hundred thirty billion, three hundred fourteen million, two hundred twenty-two thousand, four hundred one".