2617661001696 has 48 divisors (see below), whose sum is σ = 7399926296784. Its totient is φ = 805434153984.

The previous prime is 2617661001689. The next prime is 2617661001721. The reversal of 2617661001696 is 6961001667162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2617661001696² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048741141 + ... + 1048743636.

It is an arithmetic number, because the mean of its divisors is an integer number (154165131183).

Almost surely, 2^{2617661001696} is an apocalyptic number.

2617661001696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2617661001696 is an abundant number, since it is smaller than the sum of its proper divisors (4782265295088).

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

2617661001696 is a wasteful number, since it uses less digits than its factorization.

2617661001696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097484803 (or 2097484795 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 2617661001696 in words is "two trillion, six hundred seventeen billion, six hundred sixty-one million, one thousand, six hundred ninety-six".