2248665760 has 48 divisors (see below), whose sum is σ = 5795429472. Its totient is φ = 817696000.

The previous prime is 2248665733. The next prime is 2248665773. The reversal of 2248665760 is 675668422.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2248665760.

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 7 ways as a sum of consecutive naturals, for example, 637066 + ... + 640585.

It is an arithmetic number, because the mean of its divisors is an integer number (120738114).

Almost surely, 2^2248665760 is an apocalyptic number.

2248665760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248665760 is an abundant number, since it is smaller than the sum of its proper divisors (3546763712).

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

2248665760 is a wasteful number, since it uses less digits than its factorization.

2248665760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277677 (or 1277669 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 2248665760 is about 47420.0986924321. The cubic root of 2248665760 is about 1310.1116312229. Note that the first 3 decimals are identical.

The spelling of 2248665760 in words is "two billion, two hundred forty-eight million, six hundred sixty-five thousand, seven hundred sixty".