2566200 has 192 divisors, whose sum is σ = 9999360. Its totient is φ = 529920.

The previous prime is 2566199. The next prime is 2566219. The reversal of 2566200 is 26652.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54577 + ... + 54623.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^2566200 is an apocalyptic number.

2566200 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 2566200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2566200 is an abundant number, since it is smaller than the sum of its proper divisors (7433160).

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

2566200 is a wasteful number, since it uses less digits than its factorization.

2566200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2566200 is about 1601.9363283227. The cubic root of 2566200 is about 136.9084226464.

The spelling of 2566200 in words is "two million, five hundred sixty-six thousand, two hundred".