2824136 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 1112832.

The previous prime is 2824127. The next prime is 2824139. The reversal of 2824136 is 6314282.

2824136 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 (2824139) 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, 60065 + ... + 60111.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

2^2824136 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 2824136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2824136 is an abundant number, since it is smaller than the sum of its proper divisors (3742264).

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

2824136 is a wasteful number, since it uses less digits than its factorization.

2824136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2824136 is about 1680.5165872433. The cubic root of 2824136 is about 141.3498012930.

The spelling of 2824136 in words is "two million, eight hundred twenty-four thousand, one hundred thirty-six".