2617867511664 has 20 divisors (see below), whose sum is σ = 6762824405256. Its totient is φ = 872622503872.

The previous prime is 2617867511659. The next prime is 2617867511687. The reversal of 2617867511664 is 4661157687162.

It is a junction number, because it is equal to n+sod(n) for n = 2617867511598 and 2617867511607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27269453199 + ... + 27269453294.

Almost surely, 2^{2617867511664} is an apocalyptic number.

2617867511664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2617867511664 is an abundant number, since it is smaller than the sum of its proper divisors (4144956893592).

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

2617867511664 is a wasteful number, since it uses less digits than its factorization.

2617867511664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54538906504 (or 54538906498 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The spelling of 2617867511664 in words is "two trillion, six hundred seventeen billion, eight hundred sixty-seven million, five hundred eleven thousand, six hundred sixty-four".