2263824 has 60 divisors (see below), whose sum is σ = 6448000. Its totient is φ = 741312.

The previous prime is 2263817. The next prime is 2263829. The reversal of 2263824 is 4283622.

2263824 is a `hidden beast` number, since 2 + 2 + 638 + 24 = 666.

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 (2263829) 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 11 ways as a sum of consecutive naturals, for example, 11277 + ... + 11475.

2^2263824 is an apocalyptic number.

2263824 is a gapful number since it is divisible by the number (24) 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 2263824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224000).

2263824 is an abundant number, since it is smaller than the sum of its proper divisors (4184176).

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

2263824 is a wasteful number, since it uses less digits than its factorization.

2263824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

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

The square root of 2263824 is about 1504.6009437721. The cubic root of 2263824 is about 131.3048858883.

The spelling of 2263824 in words is "two million, two hundred sixty-three thousand, eight hundred twenty-four".