2806684020 has 576 divisors, whose sum is σ = 11201089536. Its totient is φ = 574801920.

The previous prime is 2806683991. The next prime is 2806684033. The reversal of 2806684020 is 204866082.

2806684020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 13301715 + ... + 13301925.

It is an arithmetic number, because the mean of its divisors is an integer number (19446336).

Almost surely, 2^2806684020 is an apocalyptic number.

2806684020 is a gapful number since it is divisible by the number (20) 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 2806684020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600544768).

2806684020 is an abundant number, since it is smaller than the sum of its proper divisors (8394405516).

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

2806684020 is a wasteful number, since it uses less digits than its factorization.

2806684020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2806684020 is about 52978.1466266988. The cubic root of 2806684020 is about 1410.5803857852.

The spelling of 2806684020 in words is "two billion, eight hundred six million, six hundred eighty-four thousand, twenty".