2424384 has 112 divisors (see below), whose sum is σ = 7559040. Its totient is φ = 760320.

The previous prime is 2424377. The next prime is 2424391. The reversal of 2424384 is 4834242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2424377) and next prime (2424391).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39714 + ... + 39774.

2^2424384 is an apocalyptic number.

2424384 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 2424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779520).

2424384 is an abundant number, since it is smaller than the sum of its proper divisors (5134656).

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

2424384 is a wasteful number, since it uses less digits than its factorization.

2424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2424384 is about 1557.0433519976. The cubic root of 2424384 is about 134.3384922636.

The spelling of 2424384 in words is "two million, four hundred twenty-four thousand, three hundred eighty-four".