2806200 has 72 divisors (see below), whose sum is σ = 9430200. Its totient is φ = 747840.

The previous prime is 2806187. The next prime is 2806201. The reversal of 2806200 is 26082.

2806200 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806201) 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 17 ways as a sum of consecutive naturals, for example, 1021 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (130975).

2^2806200 is an apocalyptic number.

2806200 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 2806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715100).

2806200 is an abundant number, since it is smaller than the sum of its proper divisors (6624000).

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

2806200 is a wasteful number, since it uses less digits than its factorization.

2806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2806200 is about 1675.1716329976. The cubic root of 2806200 is about 141.0499295031.

The spelling of 2806200 in words is "two million, eight hundred six thousand, two hundred".