2484559728 has 240 divisors, whose sum is σ = 8562118656. Its totient is φ = 656916480.

The previous prime is 2484559723. The next prime is 2484559733. The reversal of 2484559728 is 8279554842.

2484559728 is a `hidden beast` number, since 2 + 4 + 8 + 45 + 597 + 2 + 8 = 666.

2484559728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2484559723) and next prime (2484559733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484559723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716976 + ... + 720432.

Almost surely, 2^2484559728 is an apocalyptic number.

2484559728 is a gapful number since it is divisible by the number (28) 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 2484559728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281059328).

2484559728 is an abundant number, since it is smaller than the sum of its proper divisors (6077558928).

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

2484559728 is a wasteful number, since it uses less digits than its factorization.

2484559728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3523 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2484559728 is about 49845.3581389481. The cubic root of 2484559728 is about 1354.4089465235.

The spelling of 2484559728 in words is "two billion, four hundred eighty-four million, five hundred fifty-nine thousand, seven hundred twenty-eight".