2847200 has 36 divisors (see below), whose sum is σ = 6952680. Its totient is φ = 1138560.

The previous prime is 2847197. The next prime is 2847203. The reversal of 2847200 is 27482.

2847200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2847197) and next prime (2847203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2847203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 980 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (193130).

2^2847200 is an apocalyptic number.

2847200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2847200 is an abundant number, since it is smaller than the sum of its proper divisors (4105480).

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

2847200 is a wasteful number, since it uses less digits than its factorization.

2847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2847200 is about 1687.3648093996. The cubic root of 2847200 is about 141.7335478128.

The spelling of 2847200 in words is "two million, eight hundred forty-seven thousand, two hundred".