2082800 has 60 divisors (see below), whose sum is σ = 5166336. Its totient is φ = 806400.

The previous prime is 2082793. The next prime is 2082803. The reversal of 2082800 is 82802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16337 + ... + 16463.

2^2082800 is an apocalyptic number.

2082800 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 2082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583168).

2082800 is an abundant number, since it is smaller than the sum of its proper divisors (3083536).

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

2082800 is a wasteful number, since it uses less digits than its factorization.

2082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2082800 is about 1443.1909090623. The cubic root of 2082800 is about 127.7073391791.

It can be divided in two parts, 2082 and 800, that added together give a palindrome (2882).

The spelling of 2082800 in words is "two million, eighty-two thousand, eight hundred".