2423125684224 has 1040 divisors, whose sum is σ = 8563199040000. Its totient is φ = 682404839424.

The previous prime is 2423125684169. The next prime is 2423125684247. The reversal of 2423125684224 is 4224865213242.

It is a happy number.

2423125684224 is a `hidden beast` number, since 2 + 4 + 23 + 1 + 2 + 568 + 42 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2423125684224.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12176510877 + ... + 12176511075.

Almost surely, 2^{2423125684224} is an apocalyptic number.

2423125684224 is a gapful number since it is divisible by the number (24) 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 2423125684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281599520000).

2423125684224 is an abundant number, since it is smaller than the sum of its proper divisors (6140073355776).

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

2423125684224 is an equidigital number, since it uses as much as digits as its factorization.

2423125684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 318 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 2423125684224 in words is "two trillion, four hundred twenty-three billion, one hundred twenty-five million, six hundred eighty-four thousand, two hundred twenty-four".