2822609986560 has 1584 divisors, whose sum is σ = 12346365049200. Its totient is φ = 594493046784.

The previous prime is 2822609986531. The next prime is 2822609986577. The reversal of 2822609986560 is 656899062282.

2822609986560 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 60 + 9 + 9 + 8 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2513011221504 + 309598765056 = 1585248^2 + 556416^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 4960649956 + ... + 4960650524.

Almost surely, 2^{2822609986560} is an apocalyptic number.

2822609986560 is a gapful number since it is divisible by the number (20) 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 2822609986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173182524600).

2822609986560 is an abundant number, since it is smaller than the sum of its proper divisors (9523755062640).

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

2822609986560 is a wasteful number, since it uses less digits than its factorization.

2822609986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2822609986560 in words is "two trillion, eight hundred twenty-two billion, six hundred nine million, nine hundred eighty-six thousand, five hundred sixty".