2008820 has 48 divisors (see below), whose sum is σ = 4814208. Its totient is φ = 696960.

The previous prime is 2008817. The next prime is 2008823. The reversal of 2008820 is 288002.

It is an interprime number because it is at equal distance from previous prime (2008817) and next prime (2008823).

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

It is a junction number, because it is equal to n+sod(n) for n = 2008792 and 2008801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4862 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (100296).

2^2008820 is an apocalyptic number.

2008820 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 2008820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407104).

2008820 is an abundant number, since it is smaller than the sum of its proper divisors (2805388).

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

2008820 is a wasteful number, since it uses less digits than its factorization.

2008820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

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

The square root of 2008820 is about 1417.3284728672. The cubic root of 2008820 is about 126.1770417926.

The spelling of 2008820 in words is "two million, eight thousand, eight hundred twenty".