2617516896 has 48 divisors (see below), whose sum is σ = 6875367408. Its totient is φ = 871948800.

The previous prime is 2617516859. The next prime is 2617516901. The reversal of 2617516896 is 6986157162.

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

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, 159306 + ... + 174966.

It is an arithmetic number, because the mean of its divisors is an integer number (143236821).

Almost surely, 2^2617516896 is an apocalyptic number.

It is an amenable number.

2617516896 is an abundant number, since it is smaller than the sum of its proper divisors (4257850512).

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

2617516896 is a wasteful number, since it uses less digits than its factorization.

2617516896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17415 (or 17407 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 2617516896 is about 51161.6740930162. The cubic root of 2617516896 is about 1378.1500268839.

It can be divided in two parts, 26175 and 16896, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 2617516896 in words is "two billion, six hundred seventeen million, five hundred sixteen thousand, eight hundred ninety-six".