2498063597568 has 1280 divisors, whose sum is σ = 9865859097600. Its totient is φ = 609830830080.

The previous prime is 2498063597543. The next prime is 2498063597587. The reversal of 2498063597568 is 8657953608942.

It is a happy number.

2498063597568 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 0 + 6 + 3 + 59 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2498063597496 and 2498063597505.

It is a congruent number.

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, 3474357913 + ... + 3474358631.

It is an arithmetic number, because the mean of its divisors is an integer number (7707702420).

Almost surely, 2^{2498063597568} is an apocalyptic number.

2498063597568 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 2498063597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932929548800).

2498063597568 is an abundant number, since it is smaller than the sum of its proper divisors (7367795500032).

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

2498063597568 is an equidigital number, since it uses as much as digits as its factorization.

2498063597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 2498063597568 in words is "two trillion, four hundred ninety-eight billion, sixty-three million, five hundred ninety-seven thousand, five hundred sixty-eight".