2824738368 has 112 divisors (see below), whose sum is σ = 7584399360. Its totient is φ = 927752704.

The previous prime is 2824738363. The next prime is 2824738369. The reversal of 2824738368 is 8638374282.

It is a happy number.

Its product of digits (3096576) is a multiple of the sum of its prime factors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 2824738368.

It is not an unprimeable number, because it can be changed into a prime (2824738363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7375105 + ... + 7375487.

Almost surely, 2^2824738368 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 2824738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792199680).

2824738368 is an abundant number, since it is smaller than the sum of its proper divisors (4759660992).

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

2824738368 is a wasteful number, since it uses less digits than its factorization.

2824738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 2824738368 is about 53148.2677798628. The cubic root of 2824738368 is about 1413.5985021230.

The spelling of 2824738368 in words is "two billion, eight hundred twenty-four million, seven hundred thirty-eight thousand, three hundred sixty-eight".