2820076 has 48 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 1108800.

The previous prime is 2820071. The next prime is 2820089. The reversal of 2820076 is 6700282.

2820076 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

2820076 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2820076.

It is not an unprimeable number, because it can be changed into a prime (2820071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18601 + ... + 18751.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

2^2820076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2820076 is an abundant number, since it is smaller than the sum of its proper divisors (3308564).

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

2820076 is a wasteful number, since it uses less digits than its factorization.

2820076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2820076 is about 1679.3081908929. The cubic root of 2820076 is about 141.2820336149.

The spelling of 2820076 in words is "two million, eight hundred twenty thousand, seventy-six".