2617084272 has 40 divisors (see below), whose sum is σ = 7375420800. Its totient is φ = 793055680.

The previous prime is 2617084231. The next prime is 2617084303. The reversal of 2617084272 is 2724807162.

It is a self number, because there is not a number n which added to its sum of digits gives 2617084272.

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, 2477772 + ... + 2478827.

It is an arithmetic number, because the mean of its divisors is an integer number (184385520).

Almost surely, 2^2617084272 is an apocalyptic number.

2617084272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2617084272 is an abundant number, since it is smaller than the sum of its proper divisors (4758336528).

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

2617084272 is a wasteful number, since it uses less digits than its factorization.

2617084272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956621 (or 4956615 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2617084272 is about 51157.4459096621. The cubic root of 2617084272 is about 1378.0740956799.

The spelling of 2617084272 in words is "two billion, six hundred seventeen million, eighty-four thousand, two hundred seventy-two".