2822605632 has 336 divisors, whose sum is σ = 10529206272. Its totient is φ = 701015040.

The previous prime is 2822605631. The next prime is 2822605673. The reversal of 2822605632 is 2365062282.

2822605632 is a `hidden beast` number, since 28 + 22 + 605 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822605631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1018713 + ... + 1021479.

Almost surely, 2^2822605632 is an apocalyptic number.

2822605632 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 2822605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264603136).

2822605632 is an abundant number, since it is smaller than the sum of its proper divisors (7706600640).

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

2822605632 is a wasteful number, since it uses less digits than its factorization.

2822605632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2822605632 is about 53128.1999695077. The cubic root of 2822605632 is about 1413.2426471618.

The spelling of 2822605632 in words is "two billion, eight hundred twenty-two million, six hundred five thousand, six hundred thirty-two".