2887200 has 108 divisors (see below), whose sum is σ = 10206378. Its totient is φ = 768000.

The previous prime is 2887151. The next prime is 2887201. The reversal of 2887200 is 27882.

2887200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2782224 + 104976 = 1668^2 + 324^2 .

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2887201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7000 + ... + 7400.

2^2887200 is an apocalyptic number.

2887200 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 2887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103189).

2887200 is an abundant number, since it is smaller than the sum of its proper divisors (7319178).

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

2887200 is a wasteful number, since it uses less digits than its factorization.

2887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2887200 is about 1699.1762710208. The cubic root of 2887200 is about 142.3941966242.

It can be divided in two parts, 288 and 7200, that multiplied together give a square (2073600 = 1440²).

The spelling of 2887200 in words is "two million, eight hundred eighty-seven thousand, two hundred".