2806338240 has 504 divisors, whose sum is σ = 10801185408. Its totient is φ = 665763840.

The previous prime is 2806338203. The next prime is 2806338263. The reversal of 2806338240 is 428336082.

2806338240 is a `hidden beast` number, since 2 + 80 + 6 + 338 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2806338195 and 2806338204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65263659 + ... + 65263701.

Almost surely, 2^2806338240 is an apocalyptic number.

2806338240 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 2806338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400592704).

2806338240 is an abundant number, since it is smaller than the sum of its proper divisors (7994847168).

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

2806338240 is a wasteful number, since it uses less digits than its factorization.

2806338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2806338240 is about 52974.8831051093. The cubic root of 2806338240 is about 1410.5224561532.

The spelling of 2806338240 in words is "two billion, eight hundred six million, three hundred thirty-eight thousand, two hundred forty".