2425344768 has 720 divisors, whose sum is σ = 9497241600. Its totient is φ = 609638400.

The previous prime is 2425344749. The next prime is 2425344829. The reversal of 2425344768 is 8674435242.

It is a happy number.

2425344768 is a `hidden beast` number, since 2 + 42 + 534 + 4 + 76 + 8 = 666.

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, 78236913 + ... + 78236943.

Almost surely, 2^2425344768 is an apocalyptic number.

2425344768 is a gapful number since it is divisible by the number (28) 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 2425344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748620800).

2425344768 is an abundant number, since it is smaller than the sum of its proper divisors (7071896832).

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

2425344768 is an equidigital number, since it uses as much as digits as its factorization.

2425344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2425344768 is about 49247.7894732342. The cubic root of 2425344768 is about 1343.5623575073.

The spelling of 2425344768 in words is "two billion, four hundred twenty-five million, three hundred forty-four thousand, seven hundred sixty-eight".