2617225728 has 80 divisors (see below), whose sum is σ = 7508852736. Its totient is φ = 805294080.

The previous prime is 2617225717. The next prime is 2617225753. The reversal of 2617225728 is 8275227162.

It is a super-2 number, since 2×2617225728² = 13699741022610259968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2617225728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45568 + ... + 85503.

Almost surely, 2^2617225728 is an apocalyptic number.

It is an amenable number.

2617225728 is an abundant number, since it is smaller than the sum of its proper divisors (4891627008).

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

2617225728 is a wasteful number, since it uses less digits than its factorization.

2617225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131105 (or 131089 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 2617225728 is about 51158.8284463200. The cubic root of 2617225728 is about 1378.0989239897.

The spelling of 2617225728 in words is "two billion, six hundred seventeen million, two hundred twenty-five thousand, seven hundred twenty-eight".