2824136609 has 12 divisors (see below), whose sum is σ = 3398505300. Its totient is φ = 2337215328.

The previous prime is 2824136593. The next prime is 2824136647. The reversal of 2824136609 is 9066314282.

It can be written as a sum of positive squares in 2 ways, for example, as 493950625 + 2330185984 = 22225^2 + 48272^2 .

It is not a de Polignac number, because 2824136609 - 2⁴ = 2824136593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2824136009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992294 + ... + 995135.

It is an arithmetic number, because the mean of its divisors is an integer number (283208775).

Almost surely, 2^2824136609 is an apocalyptic number.

2824136609 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2824136609 is a deficient number, since it is larger than the sum of its proper divisors (574368691).

2824136609 is a wasteful number, since it uses less digits than its factorization.

2824136609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987472 (or 1987465 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2824136609 is about 53142.6063436862. The cubic root of 2824136609 is about 1413.4981145328.

The spelling of 2824136609 in words is "two billion, eight hundred twenty-four million, one hundred thirty-six thousand, six hundred nine".