2424864 has 96 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 709632.

The previous prime is 2424859. The next prime is 2424887. The reversal of 2424864 is 4684242.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 4² + 2²¹ + 4⁸ + 8 + 6 + 4⁹ .

It is a congruent number.

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, 36159 + ... + 36225.

It is an arithmetic number, because the mean of its divisors is an integer number (74970).

2^2424864 is an apocalyptic number.

2424864 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 2424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2424864 is an abundant number, since it is smaller than the sum of its proper divisors (4772256).

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

2424864 is a wasteful number, since it uses less digits than its factorization.

2424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2424864 is about 1557.1974826592. The cubic root of 2424864 is about 134.3473575013.

The spelling of 2424864 in words is "two million, four hundred twenty-four thousand, eight hundred sixty-four".