2824824768 has 28 divisors (see below), whose sum is σ = 7474016040. Its totient is φ = 941608192.

The previous prime is 2824824767. The next prime is 2824824797. The reversal of 2824824768 is 8674284282.

2824824768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2824824768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824824763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7356123 + ... + 7356506.

Almost surely, 2^2824824768 is an apocalyptic number.

It is an amenable number.

2824824768 is an abundant number, since it is smaller than the sum of its proper divisors (4649191272).

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

2824824768 is a wasteful number, since it uses less digits than its factorization.

2824824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712644 (or 14712634 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 2824824768 is about 53149.0805941175. The cubic root of 2824824768 is about 1413.6129145097.

The spelling of 2824824768 in words is "two billion, eight hundred twenty-four million, eight hundred twenty-four thousand, seven hundred sixty-eight".