2822633352 has 512 divisors, whose sum is σ = 10575360000. Its totient is φ = 675164160.

The previous prime is 2822633339. The next prime is 2822633381. The reversal of 2822633352 is 2533362282.

2822633352 is a `hidden beast` number, since 282 + 26 + 3 + 3 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (103680) is a multiple of the sum of its prime divisors (256).

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 127 ways as a sum of consecutive naturals, for example, 18943774 + ... + 18943922.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^2822633352 is an apocalyptic number.

2822633352 is a gapful number since it is divisible by the number (22) 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 2822633352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

2822633352 is an abundant number, since it is smaller than the sum of its proper divisors (7752726648).

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

2822633352 is a wasteful number, since it uses less digits than its factorization.

2822633352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2822633352 is about 53128.4608472709. The cubic root of 2822633352 is about 1413.2472734968.

The spelling of 2822633352 in words is "two billion, eight hundred twenty-two million, six hundred thirty-three thousand, three hundred fifty-two".