2895200 has 144 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 883200.

The previous prime is 2895187. The next prime is 2895203. The reversal of 2895200 is 25982.

2895200 = T₃₁₅ + T₃₁₆ + ... + T₃₆₄.

It is a self number, because there is not a number n which added to its sum of digits gives 2895200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2895203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61577 + ... + 61623.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^2895200 is an apocalyptic number.

2895200 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 2895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2895200 is an abundant number, since it is smaller than the sum of its proper divisors (6104224).

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

2895200 is a wasteful number, since it uses less digits than its factorization.

2895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

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

The square root of 2895200 is about 1701.5287244123. The cubic root of 2895200 is about 142.5255930230.

The spelling of 2895200 in words is "two million, eight hundred ninety-five thousand, two hundred".