2824222848 has 64 divisors (see below), whose sum is σ = 7533475200. Its totient is φ = 937438208.

The previous prime is 2824222813. The next prime is 2824222867. The reversal of 2824222848 is 8482224282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2824222848² = 15952469390330462208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76390 + ... + 107162.

It is an arithmetic number, because the mean of its divisors is an integer number (117710550).

Almost surely, 2^2824222848 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 2824222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766737600).

2824222848 is an abundant number, since it is smaller than the sum of its proper divisors (4709252352).

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

2824222848 is a wasteful number, since it uses less digits than its factorization.

2824222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31029 (or 31017 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 2824222848 is about 53143.4177297622. The cubic root of 2824222848 is about 1413.5125021068.

The spelling of 2824222848 in words is "two billion, eight hundred twenty-four million, two hundred twenty-two thousand, eight hundred forty-eight".