2820805568 has 112 divisors (see below), whose sum is σ = 6672242688. Its totient is φ = 1157760000.

The previous prime is 2820805511. The next prime is 2820805571. The reversal of 2820805568 is 8655080282.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401683 + ... + 1403693.

Almost surely, 2^2820805568 is an apocalyptic number.

2820805568 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 2820805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336121344).

2820805568 is an abundant number, since it is smaller than the sum of its proper divisors (3851437120).

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

2820805568 is a wasteful number, since it uses less digits than its factorization.

2820805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The square root of 2820805568 is about 53111.2565093314. The cubic root of 2820805568 is about 1412.9421602457.

The spelling of 2820805568 in words is "two billion, eight hundred twenty million, eight hundred five thousand, five hundred sixty-eight".