2884448000 has 288 divisors, whose sum is σ = 8366991360. Its totient is φ = 970444800.

The previous prime is 2884447933. The next prime is 2884448027. The reversal of 2884448000 is 8444882.

2884448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17695919 + ... + 17696081.

Almost surely, 2^2884448000 is an apocalyptic number.

2884448000 is a gapful number since it is divisible by the number (20) 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 2884448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183495680).

2884448000 is an abundant number, since it is smaller than the sum of its proper divisors (5482543360).

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

2884448000 is an equidigital number, since it uses as much as digits as its factorization.

2884448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 2884448000 is about 53707.0572643857. The cubic root of 2884448000 is about 1423.4894015869.

The spelling of 2884448000 in words is "two billion, eight hundred eighty-four million, four hundred forty-eight thousand".