2820 has 24 divisors (see below), whose sum is σ = 8064. Its totient is φ = 736.

The previous prime is 2819. The next prime is 2833. The reversal of 2820 is 282.

2820 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 7 and base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2796 and 2805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2²⁸²⁰ is an apocalyptic number.

2820 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 2820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

2820 is an abundant number, since it is smaller than the sum of its proper divisors (5244).

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

2820 is a wasteful number, since it uses less digits than its factorization.

2820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2820 is about 53.1036721894. The cubic root of 2820 is about 14.1280764437.

The spelling of 2820 in words is "two thousand, eight hundred twenty".