2248960 has 72 divisors (see below), whose sum is σ = 6181056. Its totient is φ = 768000.

The previous prime is 2248951. The next prime is 2248969. The reversal of 2248960 is 698422.

It is an interprime number because it is at equal distance from previous prime (2248951) and next prime (2248969).

It is not an unprimeable number, because it can be changed into a prime (2248969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8835 + ... + 9085.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

2^2248960 is an apocalyptic number.

2248960 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 2248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528).

2248960 is an abundant number, since it is smaller than the sum of its proper divisors (3932096).

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

2248960 is an equidigital number, since it uses as much as digits as its factorization.

2248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2248960 is about 1499.6532932648. The cubic root of 2248960 is about 131.0168771838.

The spelling of 2248960 in words is "two million, two hundred forty-eight thousand, nine hundred sixty".