2816722944 has 384 divisors, whose sum is σ = 10063872000. Its totient is φ = 760430592.

The previous prime is 2816722903. The next prime is 2816722973. The reversal of 2816722944 is 4492276182.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2816722944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354177 + ... + 7354559.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^2816722944 is an apocalyptic number.

2816722944 is a gapful number since it is divisible by the number (24) 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 2816722944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936000).

2816722944 is an abundant number, since it is smaller than the sum of its proper divisors (7247149056).

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

2816722944 is a wasteful number, since it uses less digits than its factorization.

2816722944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2816722944 is about 53072.8079528491. The cubic root of 2816722944 is about 1412.2601686838.

The spelling of 2816722944 in words is "two billion, eight hundred sixteen million, seven hundred twenty-two thousand, nine hundred forty-four".