2501310161664 has 216 divisors, whose sum is σ = 7324733357760. Its totient is φ = 820796184576.

The previous prime is 2501310161659. The next prime is 2501310161789. The reversal of 2501310161664 is 4661610131052.

2501310161664 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 31 + 0 + 1 + 616 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54095547 + ... + 54141765.

Almost surely, 2^{2501310161664} is an apocalyptic number.

2501310161664 is a gapful number since it is divisible by the number (24) 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 2501310161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662366678880).

2501310161664 is an abundant number, since it is smaller than the sum of its proper divisors (4823423196096).

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

2501310161664 is a wasteful number, since it uses less digits than its factorization.

2501310161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46607 (or 46590 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2501310161664 in words is "two trillion, five hundred one billion, three hundred ten million, one hundred sixty-one thousand, six hundred sixty-four".