2617172560 has 20 divisors (see below), whose sum is σ = 6084926388. Its totient is φ = 1046868992.

The previous prime is 2617172539. The next prime is 2617172561. The reversal of 2617172560 is 652717162.

It can be written as a sum of positive squares in 2 ways, for example, as 1831155264 + 786017296 = 42792^2 + 28036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617172561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16357249 + ... + 16357408.

Almost surely, 2^2617172560 is an apocalyptic number.

2617172560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617172560 is an abundant number, since it is smaller than the sum of its proper divisors (3467753828).

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

2617172560 is a wasteful number, since it uses less digits than its factorization.

2617172560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32714670 (or 32714664 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 2617172560 is about 51158.3088070745. The cubic root of 2617172560 is about 1378.0895920651.

The spelling of 2617172560 in words is "two billion, six hundred seventeen million, one hundred seventy-two thousand, five hundred sixty".