2806886208 has 336 divisors, whose sum is σ = 9033808704. Its totient is φ = 766402560.

The previous prime is 2806886197. The next prime is 2806886273. The reversal of 2806886208 is 8026886082.

2806886208 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 (336).

It is a super-2 number, since 2×2806886208² = 15757220369321238528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38450460 + ... + 38450532.

Almost surely, 2^2806886208 is an apocalyptic number.

2806886208 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 2806886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516904352).

2806886208 is an abundant number, since it is smaller than the sum of its proper divisors (6226922496).

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

2806886208 is a wasteful number, since it uses less digits than its factorization.

2806886208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 2806886208 is about 52980.0548131087. The cubic root of 2806886208 is about 1410.6142567847.

The spelling of 2806886208 in words is "two billion, eight hundred six million, eight hundred eighty-six thousand, two hundred eight".