2248724160 has 112 divisors (see below), whose sum is σ = 7933029600. Its totient is φ = 599657472.

The previous prime is 2248724143. The next prime is 2248724167. The reversal of 2248724160 is 614278422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2248724167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121495 + ... + 138774.

Almost surely, 2^2248724160 is an apocalyptic number.

2248724160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248724160 is an abundant number, since it is smaller than the sum of its proper divisors (5684305440).

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

2248724160 is a wasteful number, since it uses less digits than its factorization.

2248724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260295 (or 260279 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2248724160 is about 47420.7144610876. The cubic root of 2248724160 is about 1310.1229727420.

The spelling of 2248724160 in words is "two billion, two hundred forty-eight million, seven hundred twenty-four thousand, one hundred sixty".