2824448256 has 216 divisors, whose sum is σ = 9438374400. Its totient is φ = 795598848.

The previous prime is 2824448191. The next prime is 2824448267. The reversal of 2824448256 is 6528444282.

2824448256 is a `hidden beast` number, since 2 + 82 + 44 + 482 + 56 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1176145 + ... + 1178543.

Almost surely, 2^2824448256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719187200).

2824448256 is an abundant number, since it is smaller than the sum of its proper divisors (6613926144).

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

2824448256 is a wasteful number, since it uses less digits than its factorization.

2824448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2484 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 2824448256 is about 53145.5384392707. The cubic root of 2824448256 is about 1413.5501063808.

The spelling of 2824448256 in words is "two billion, eight hundred twenty-four million, four hundred forty-eight thousand, two hundred fifty-six".