2263248 has 120 divisors (see below), whose sum is σ = 7261440. Its totient is φ = 673920.

The previous prime is 2263243. The next prime is 2263249. The reversal of 2263248 is 8423622.

2263248 is a `hidden beast` number, since 22 + 632 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2263243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72993 + ... + 73023.

It is an arithmetic number, because the mean of its divisors is an integer number (60512).

2^2263248 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 2263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630720).

2263248 is an abundant number, since it is smaller than the sum of its proper divisors (4998192).

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

2263248 is a wasteful number, since it uses less digits than its factorization.

2263248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2263248 is about 1504.4095187149. The cubic root of 2263248 is about 131.2937486812.

The spelling of 2263248 in words is "two million, two hundred sixty-three thousand, two hundred forty-eight".