2081800 has 48 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 713280.

The previous prime is 2081797. The next prime is 2081801. The reversal of 2081800 is 81802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2081801) 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, 657 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

2^2081800 is an apocalyptic number.

2081800 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 2081800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2081800 is an abundant number, since it is smaller than the sum of its proper divisors (3453560).

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

2081800 is a wasteful number, since it uses less digits than its factorization.

2081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2081800 is about 1442.8444129566. The cubic root of 2081800 is about 127.6868975007.

The spelling of 2081800 in words is "two million, eighty-one thousand, eight hundred".