2608758268368 has 320 divisors, whose sum is σ = 8185609420800. Its totient is φ = 700163481600.

The previous prime is 2608758268301. The next prime is 2608758268373. The reversal of 2608758268368 is 8638628578062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84968796 + ... + 84999492.

It is an arithmetic number, because the mean of its divisors is an integer number (25580029440).

Almost surely, 2^{2608758268368} is an apocalyptic number.

2608758268368 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 2608758268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092804710400).

2608758268368 is an abundant number, since it is smaller than the sum of its proper divisors (5576851152432).

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

2608758268368 is a wasteful number, since it uses less digits than its factorization.

2608758268368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30986 (or 30980 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 2608758268368 in words is "two trillion, six hundred eight billion, seven hundred fifty-eight million, two hundred sixty-eight thousand, three hundred sixty-eight".