2824564072 has 32 divisors (see below), whose sum is σ = 5819713920. Its totient is φ = 1274515840.

The previous prime is 2824564037. The next prime is 2824564079. The reversal of 2824564072 is 2704654282.

2824564072 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 (2824564079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105088 + ... + 129199.

It is an arithmetic number, because the mean of its divisors is an integer number (181866060).

Almost surely, 2^2824564072 is an apocalyptic number.

2824564072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2824564072 is an abundant number, since it is smaller than the sum of its proper divisors (2995149848).

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

2824564072 is a wasteful number, since it uses less digits than its factorization.

2824564072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234441 (or 234437 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 2824564072 is about 53146.6280397920. The cubic root of 2824564072 is about 1413.5694269072.

The spelling of 2824564072 in words is "two billion, eight hundred twenty-four million, five hundred sixty-four thousand, seventy-two".