2820384 has 72 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 805248.

The previous prime is 2820383. The next prime is 2820401. The reversal of 2820384 is 4830282.

2820384 is a `hidden beast` number, since 282 + 0 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2820383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

2^2820384 is an apocalyptic number.

2820384 is a gapful number since it is divisible by the number (24) 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 2820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2820384 is an abundant number, since it is smaller than the sum of its proper divisors (6352416).

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

2820384 is a wasteful number, since it uses less digits than its factorization.

2820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2820384 is about 1679.3998928189. The cubic root of 2820384 is about 141.2871768903.

The spelling of 2820384 in words is "two million, eight hundred twenty thousand, three hundred eighty-four".