2428009584 has 240 divisors, whose sum is σ = 8573201280. Its totient is φ = 582059520.

The previous prime is 2428009579. The next prime is 2428009637. The reversal of 2428009584 is 4859008242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332727 + ... + 339945.

It is an arithmetic number, because the mean of its divisors is an integer number (35721672).

Almost surely, 2^2428009584 is an apocalyptic number.

2428009584 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 2428009584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286600640).

2428009584 is an abundant number, since it is smaller than the sum of its proper divisors (6145191696).

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

2428009584 is a wasteful number, since it uses less digits than its factorization.

2428009584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2428009584 is about 49274.8372295637. The cubic root of 2428009584 is about 1344.0542512823.

The spelling of 2428009584 in words is "two billion, four hundred twenty-eight million, nine thousand, five hundred eighty-four".