2806135056 has 320 divisors, whose sum is σ = 9160128000. Its totient is φ = 817496064.

The previous prime is 2806135051. The next prime is 2806135069. The reversal of 2806135056 is 6505316082.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2806135056.

It is not an unprimeable number, because it can be changed into a prime (2806135051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6249520 + ... + 6249968.

It is an arithmetic number, because the mean of its divisors is an integer number (28625400).

Almost surely, 2^2806135056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064000).

2806135056 is an abundant number, since it is smaller than the sum of its proper divisors (6353992944).

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

2806135056 is a wasteful number, since it uses less digits than its factorization.

2806135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2806135056 is about 52972.9653313839. The cubic root of 2806135056 is about 1410.4884138667.

The spelling of 2806135056 in words is "two billion, eight hundred six million, one hundred thirty-five thousand, fifty-six".