2427824 has 40 divisors (see below), whose sum is σ = 5490720. Its totient is φ = 1018368.

The previous prime is 2427797. The next prime is 2427847. The reversal of 2427824 is 4287242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5732 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (137268).

2^2427824 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 2427824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745360).

2427824 is an abundant number, since it is smaller than the sum of its proper divisors (3062896).

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

2427824 is a wasteful number, since it uses less digits than its factorization.

2427824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 7168, while the sum is 29.

The square root of 2427824 is about 1558.1476181672. The cubic root of 2427824 is about 134.4020006316.

The spelling of 2427824 in words is "two million, four hundred twenty-seven thousand, eight hundred twenty-four".