2442859584 has 224 divisors, whose sum is σ = 7420148736. Its totient is φ = 702535680.

The previous prime is 2442859579. The next prime is 2442859603. The reversal of 2442859584 is 4859582442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359829 + ... + 3360555.

It is an arithmetic number, because the mean of its divisors is an integer number (33125664).

Almost surely, 2^2442859584 is an apocalyptic number.

2442859584 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 2442859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710074368).

2442859584 is an abundant number, since it is smaller than the sum of its proper divisors (4977289152).

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

2442859584 is a wasteful number, since it uses less digits than its factorization.

2442859584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The square root of 2442859584 is about 49425.2929581606. The cubic root of 2442859584 is about 1346.7888165949.

The spelling of 2442859584 in words is "two billion, four hundred forty-two million, eight hundred fifty-nine thousand, five hundred eighty-four".