2889200 has 60 divisors (see below), whose sum is σ = 7195968. Its totient is φ = 1113600.

The previous prime is 2889181. The next prime is 2889209. The reversal of 2889200 is 29882.

2889200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12284 + ... + 12516.

2^2889200 is an apocalyptic number.

2889200 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 2889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597984).

2889200 is an abundant number, since it is smaller than the sum of its proper divisors (4306768).

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

2889200 is a wasteful number, since it uses less digits than its factorization.

2889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2889200 is about 1699.7646895968. The cubic root of 2889200 is about 142.4270684561.

The spelling of 2889200 in words is "two million, eight hundred eighty-nine thousand, two hundred".