2085200 has 60 divisors (see below), whose sum is σ = 5408508. Its totient is φ = 768000.

The previous prime is 2085197. The next prime is 2085217. The reversal of 2085200 is 25802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 2085136 = 8^2 + 1444^2 .

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, 5000 + ... + 5400.

2^2085200 is an apocalyptic number.

2085200 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 2085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704254).

2085200 is an abundant number, since it is smaller than the sum of its proper divisors (3323308).

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

2085200 is a wasteful number, since it uses less digits than its factorization.

2085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2085200 is about 1444.0221604948. The cubic root of 2085200 is about 127.7563725259.

It can be divided in two parts, 208 and 5200, that multiplied together give a square (1081600 = 1040²).

The spelling of 2085200 in words is "two million, eighty-five thousand, two hundred".