2085820 has 48 divisors (see below), whose sum is σ = 5040000. Its totient is φ = 717120.

The previous prime is 2085803. The next prime is 2085823. The reversal of 2085820 is 285802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3931 + ... + 4429.

It is an arithmetic number, because the mean of its divisors is an integer number (105000).

2^2085820 is an apocalyptic number.

2085820 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 2085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520000).

2085820 is an abundant number, since it is smaller than the sum of its proper divisors (2954180).

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

2085820 is a wasteful number, since it uses less digits than its factorization.

2085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 2085820 is about 1444.2368226853. The cubic root of 2085820 is about 127.7690333580.

The spelling of 2085820 in words is "two million, eighty-five thousand, eight hundred twenty".