2852810205336 has 768 divisors, whose sum is σ = 10440652185600. Its totient is φ = 682595942400.

The previous prime is 2852810205253. The next prime is 2852810205389. The reversal of 2852810205336 is 6335020182582.

2852810205336 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 8 + 102 + 0 + 533 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2852810205291 and 2852810205300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374331606 + ... + 374339226.

It is an arithmetic number, because the mean of its divisors is an integer number (13594599200).

Almost surely, 2^{2852810205336} is an apocalyptic number.

2852810205336 is a gapful number since it is divisible by the number (26) 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 2852810205336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220326092800).

2852810205336 is an abundant number, since it is smaller than the sum of its proper divisors (7587841980264).

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

2852810205336 is a wasteful number, since it uses less digits than its factorization.

2852810205336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2852810205336 in words is "two trillion, eight hundred fifty-two billion, eight hundred ten million, two hundred five thousand, three hundred thirty-six".