2398560768 has 320 divisors, whose sum is σ = 7620940800. Its totient is φ = 743178240.

The previous prime is 2398560751. The next prime is 2398560793. The reversal of 2398560768 is 8670658932.

It is a happy number.

2398560768 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 560 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12427680 + ... + 12427872.

It is an arithmetic number, because the mean of its divisors is an integer number (23815440).

Almost surely, 2^2398560768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2398560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810470400).

2398560768 is an abundant number, since it is smaller than the sum of its proper divisors (5222380032).

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

2398560768 is a wasteful number, since it uses less digits than its factorization.

2398560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2398560768 is about 48975.1035527236. The cubic root of 2398560768 is about 1338.5982162813.

The spelling of 2398560768 in words is "two billion, three hundred ninety-eight million, five hundred sixty thousand, seven hundred sixty-eight".