2248320 has 64 divisors (see below), whose sum is σ = 7172640. Its totient is φ = 599040.

The previous prime is 2248303. The next prime is 2248331. The reversal of 2248320 is 238422.

2248320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335 + ... + 2505.

2^2248320 is an apocalyptic number.

2248320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586320).

2248320 is an abundant number, since it is smaller than the sum of its proper divisors (4924320).

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

2248320 is a wasteful number, since it uses less digits than its factorization.

2248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2248320 is about 1499.4398954276. The cubic root of 2248320 is about 131.0044479192.

The spelling of 2248320 in words is "two million, two hundred forty-eight thousand, three hundred twenty".