2826120 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 684800.

The previous prime is 2826113. The next prime is 2826121. The reversal of 2826120 is 216282.

2826120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2826121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 2390.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

2^2826120 is an apocalyptic number.

2826120 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 2826120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

2826120 is an abundant number, since it is smaller than the sum of its proper divisors (6427320).

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

2826120 is a wasteful number, since it uses less digits than its factorization.

2826120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2826120 is about 1681.1067782863. The cubic root of 2826120 is about 141.3828936985.

The spelling of 2826120 in words is "two million, eight hundred twenty-six thousand, one hundred twenty".