2858448000 has 512 divisors, whose sum is σ = 10448455680. Its totient is φ = 688128000.

The previous prime is 2858447971. The next prime is 2858448007. The reversal of 2858448000 is 8448582.

It is a self number, because there is not a number n which added to its sum of digits gives 2858448000.

It is not an unprimeable number, because it can be changed into a prime (2858448007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25295944 + ... + 25296056.

It is an arithmetic number, because the mean of its divisors is an integer number (20407140).

Almost surely, 2^2858448000 is an apocalyptic number.

2858448000 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 2858448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224227840).

2858448000 is an abundant number, since it is smaller than the sum of its proper divisors (7590007680).

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

2858448000 is a wasteful number, since it uses less digits than its factorization.

2858448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2858448000 is about 53464.4554821238. The cubic root of 2858448000 is about 1419.1994429536.

The spelling of 2858448000 in words is "two billion, eight hundred fifty-eight million, four hundred forty-eight thousand".