2535968902368 has 384 divisors, whose sum is σ = 7625753372160. Its totient is φ = 731025285120.

The previous prime is 2535968902333. The next prime is 2535968902373. The reversal of 2535968902368 is 8632098695352.

It is a super-2 number, since 2×2535968902368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2535968902299 and 2535968902308.

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, 635738518 + ... + 635742506.

It is an arithmetic number, because the mean of its divisors is an integer number (19858732740).

Almost surely, 2^{2535968902368} 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 2535968902368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812876686080).

2535968902368 is an abundant number, since it is smaller than the sum of its proper divisors (5089784469792).

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

2535968902368 is a wasteful number, since it uses less digits than its factorization.

2535968902368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 2535968902368 in words is "two trillion, five hundred thirty-five billion, nine hundred sixty-eight million, nine hundred two thousand, three hundred sixty-eight".