2857200 has 60 divisors (see below), whose sum is σ = 9156408. Its totient is φ = 761600.

The previous prime is 2857199. The next prime is 2857219. The reversal of 2857200 is 27582.

2857200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10 + ... + 2390.

2^2857200 is an apocalyptic number.

2857200 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 2857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578204).

2857200 is an abundant number, since it is smaller than the sum of its proper divisors (6299208).

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

2857200 is a wasteful number, since it uses less digits than its factorization.

2857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2857200 is about 1690.3254124576. The cubic root of 2857200 is about 141.8992871797.

The spelling of 2857200 in words is "two million, eight hundred fifty-seven thousand, two hundred".