2859200 has 42 divisors (see below), whose sum is σ = 7039356. Its totient is φ = 1143040.

The previous prime is 2859187. The next prime is 2859211. The reversal of 2859200 is 29582.

2859200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2859200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 707 + ... + 2493.

2^2859200 is an apocalyptic number.

2859200 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 2859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519678).

2859200 is an abundant number, since it is smaller than the sum of its proper divisors (4180156).

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

2859200 is a wasteful number, since it uses less digits than its factorization.

2859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2859200 is about 1690.9169110279. The cubic root of 2859200 is about 141.9323886288.

The spelling of 2859200 in words is "two million, eight hundred fifty-nine thousand, two hundred".