2288448 has 84 divisors (see below), whose sum is σ = 6835140. Its totient is φ = 731136.

The previous prime is 2288441. The next prime is 2288449. The reversal of 2288448 is 8448822.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 1016064 = 1128^2 + 1008^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16636 + ... + 16772.

2^2288448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417570).

2288448 is an abundant number, since it is smaller than the sum of its proper divisors (4546692).

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

2288448 is a wasteful number, since it uses less digits than its factorization.

2288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2288448 is about 1512.7617128947. The cubic root of 2288448 is about 131.7792453444.

The spelling of 2288448 in words is "two million, two hundred eighty-eight thousand, four hundred forty-eight".