2099820 has 48 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 551616.

The previous prime is 2099809. The next prime is 2099821. The reversal of 2099820 is 289902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2099821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4519 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

2^2099820 is an apocalyptic number.

2099820 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 2099820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2099820 is an abundant number, since it is smaller than the sum of its proper divisors (3867540).

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

2099820 is a wasteful number, since it uses less digits than its factorization.

2099820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2099820 is about 1449.0755673877. The cubic root of 2099820 is about 128.0542575966.

The spelling of 2099820 in words is "two million, ninety-nine thousand, eight hundred twenty".