2248956585 has 24 divisors (see below), whose sum is σ = 3901499784. Its totient is φ = 1198425600.

The previous prime is 2248956557. The next prime is 2248956599. The reversal of 2248956585 is 5856598422.

2248956585 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 9 + 56 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112021056 + 2136935529 = 10584^2 + 46227^2 .

It is not a de Polignac number, because 2248956585 - 2¹⁰ = 2248955561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33985 + ... + 75185.

It is an arithmetic number, because the mean of its divisors is an integer number (162562491).

Almost surely, 2^2248956585 is an apocalyptic number.

It is an amenable number.

2248956585 is a deficient number, since it is larger than the sum of its proper divisors (1652543199).

2248956585 is a wasteful number, since it uses less digits than its factorization.

2248956585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42425 (or 42422 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 2248956585 is about 47423.1650672960. The cubic root of 2248956585 is about 1310.1681086827.

The spelling of 2248956585 in words is "two billion, two hundred forty-eight million, nine hundred fifty-six thousand, five hundred eighty-five".