2820000 has 120 divisors (see below), whose sum is σ = 9446976. Its totient is φ = 736000.

The previous prime is 2819987. The next prime is 2820001. The reversal of 2820000 is 282.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2820001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59977 + ... + 60023.

2^2820000 is an apocalyptic number.

2820000 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 2820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723488).

2820000 is an abundant number, since it is smaller than the sum of its proper divisors (6626976).

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

2820000 is an equidigital number, since it uses as much as digits as its factorization.

2820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

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

The square root of 2820000 is about 1679.2855623747. The cubic root of 2820000 is about 141.2807644374.

Adding to 2820000 its reverse (282), we get a palindrome (2820282).

Multiplying 2820000 by its reverse (282), we get a square (795240000 = 28200²).

2820000 divided by its reverse (282) gives a 4-th power (10000 = 10⁴).

The spelling of 2820000 in words is "two million, eight hundred twenty thousand".