2806366080 has 128 divisors (see below), whose sum is σ = 10223239680. Its totient is φ = 641452032.

The previous prime is 2806366039. The next prime is 2806366081. The reversal of 2806366080 is 806636082.

2806366080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806366081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90964 + ... + 117843.

It is an arithmetic number, because the mean of its divisors is an integer number (79869060).

Almost surely, 2^2806366080 is an apocalyptic number.

2806366080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806366080 is an abundant number, since it is smaller than the sum of its proper divisors (7416873600).

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

2806366080 is a wasteful number, since it uses less digits than its factorization.

2806366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208836 (or 208824 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2806366080 is about 52975.1458704929. The cubic root of 2806366080 is about 1410.5271204538.

The spelling of 2806366080 in words is "two billion, eight hundred six million, three hundred sixty-six thousand, eighty".