2822050508508 has 864 divisors, whose sum is σ = 10069574699520. Its totient is φ = 663855160320.

The previous prime is 2822050508483. The next prime is 2822050508533. The reversal of 2822050508508 is 8058050502282.

2822050508508 is a `hidden beast` number, since 28 + 2 + 20 + 50 + 50 + 8 + 508 = 666.

2822050508508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2822050508483) and next prime (2822050508533).

It is a super-2 number, since 2×2822050508508² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1588097316 + ... + 1588099092.

Almost surely, 2^{2822050508508} is an apocalyptic number.

2822050508508 is a gapful number since it is divisible by the number (28) 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 2822050508508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034787349760).

2822050508508 is an abundant number, since it is smaller than the sum of its proper divisors (7247524191012).

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

2822050508508 is a wasteful number, since it uses less digits than its factorization.

2822050508508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 2822050508508 in words is "two trillion, eight hundred twenty-two billion, fifty million, five hundred eight thousand, five hundred eight".