2538490903168 has 256 divisors, whose sum is σ = 6047836876800. Its totient is φ = 1047818649600.

The previous prime is 2538490903121. The next prime is 2538490903229. The reversal of 2538490903168 is 8613090948352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257474623 + ... + 257484481.

It is an arithmetic number, because the mean of its divisors is an integer number (23624362800).

Almost surely, 2^{2538490903168} 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 2538490903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023918438400).

2538490903168 is an abundant number, since it is smaller than the sum of its proper divisors (3509345973632).

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

2538490903168 is a wasteful number, since it uses less digits than its factorization.

2538490903168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 2538490903168 in words is "two trillion, five hundred thirty-eight billion, four hundred ninety million, nine hundred three thousand, one hundred sixty-eight".