2822916096 has 960 divisors, whose sum is σ = 11987015040. Its totient is φ = 637009920.

The previous prime is 2822916043. The next prime is 2822916119. The reversal of 2822916096 is 6906192282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166053880 + ... + 166053896.

It is an arithmetic number, because the mean of its divisors is an integer number (12486474).

Almost surely, 2^2822916096 is an apocalyptic number.

2822916096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993507520).

2822916096 is an abundant number, since it is smaller than the sum of its proper divisors (9164098944).

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

2822916096 is a wasteful number, since it uses less digits than its factorization.

2822916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2822916096 is about 53131.1217272890. The cubic root of 2822916096 is about 1413.2944603841.

The spelling of 2822916096 in words is "two billion, eight hundred twenty-two million, nine hundred sixteen thousand, ninety-six".