2879200 has 72 divisors (see below), whose sum is σ = 7265160. Its totient is φ = 1113600.

The previous prime is 2879197. The next prime is 2879213. The reversal of 2879200 is 29782.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47170 + ... + 47230.

It is an arithmetic number, because the mean of its divisors is an integer number (100905).

2^2879200 is an apocalyptic number.

2879200 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 2879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632580).

2879200 is an abundant number, since it is smaller than the sum of its proper divisors (4385960).

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

2879200 is a wasteful number, since it uses less digits than its factorization.

2879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2879200 is about 1696.8205562168. The cubic root of 2879200 is about 142.2625572807.

The spelling of 2879200 in words is "two million, eight hundred seventy-nine thousand, two hundred".