2010820 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 673920.

The previous prime is 2010733. The next prime is 2010881. The reversal of 2010820 is 280102.

It is a self number, because there is not a number n which added to its sum of digits gives 2010820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285 + ... + 7555.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

2^2010820 is an apocalyptic number.

2010820 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 2010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2010820 is an abundant number, since it is smaller than the sum of its proper divisors (2924348).

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

2010820 is a wasteful number, since it uses less digits than its factorization.

2010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2010820 is about 1418.0338500896. The cubic root of 2010820 is about 126.2189022515.

Adding to 2010820 its reverse (280102), we get a palindrome (2290922).

The spelling of 2010820 in words is "two million, ten thousand, eight hundred twenty".