2508280159968 has 288 divisors, whose sum is σ = 8072588684160. Its totient is φ = 759800424960.

The previous prime is 2508280159963. The next prime is 2508280159999. The reversal of 2508280159968 is 8699510828052.

2508280159968 is a `hidden beast` number, since 2 + 508 + 28 + 0 + 15 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2508280159968² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508280159963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393205803 + ... + 393212181.

It is an arithmetic number, because the mean of its divisors is an integer number (28029821820).

Almost surely, 2^{2508280159968} 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 2508280159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036294342080).

2508280159968 is an abundant number, since it is smaller than the sum of its proper divisors (5564308524192).

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

2508280159968 is a wasteful number, since it uses less digits than its factorization.

2508280159968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 2508280159968 in words is "two trillion, five hundred eight billion, two hundred eighty million, one hundred fifty-nine thousand, nine hundred sixty-eight".