2869200 has 90 divisors (see below), whose sum is σ = 9969414. Its totient is φ = 764160.

The previous prime is 2869199. The next prime is 2869213. The reversal of 2869200 is 29682.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 2702736 = 408^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3202 + ... + 3998.

2^2869200 is an apocalyptic number.

2869200 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 2869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984707).

2869200 is an abundant number, since it is smaller than the sum of its proper divisors (7100214).

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

2869200 is a wasteful number, since it uses less digits than its factorization.

2869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2869200 is about 1693.8713056192. The cubic root of 2869200 is about 142.0976647442.

The spelling of 2869200 in words is "two million, eight hundred sixty-nine thousand, two hundred".