2824069536 has 240 divisors, whose sum is σ = 8758278144. Its totient is φ = 890942976.

The previous prime is 2824069487. The next prime is 2824069537. The reversal of 2824069536 is 6359604282.

It is a junction number, because it is equal to n+sod(n) for n = 2824069491 and 2824069500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824069537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7571046 + ... + 7571418.

Almost surely, 2^2824069536 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 2824069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379139072).

2824069536 is an abundant number, since it is smaller than the sum of its proper divisors (5934208608).

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

2824069536 is a wasteful number, since it uses less digits than its factorization.

2824069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2824069536 is about 53141.9752737890. The cubic root of 2824069536 is about 1413.4869242916.

The spelling of 2824069536 in words is "two billion, eight hundred twenty-four million, sixty-nine thousand, five hundred thirty-six".