2822729616 has 240 divisors, whose sum is σ = 9498677760. Its totient is φ = 765434880.

The previous prime is 2822729563. The next prime is 2822729639. The reversal of 2822729616 is 6169272282.

2822729616 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 7 + 29 + 616 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782361 + ... + 1783943.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824).

Almost surely, 2^2822729616 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 2822729616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

2822729616 is an abundant number, since it is smaller than the sum of its proper divisors (6675948144).

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

2822729616 is a wasteful number, since it uses less digits than its factorization.

2822729616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1685 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2822729616 is about 53129.3667946457. The cubic root of 2822729616 is about 1413.2633392614.

The spelling of 2822729616 in words is "two billion, eight hundred twenty-two million, seven hundred twenty-nine thousand, six hundred sixteen".