2806338 has 32 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 873936.

The previous prime is 2806333. The next prime is 2806351. The reversal of 2806338 is 8336082.

It is a super-3 number, since 3×2806338³ = 66304222333945819416, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 8 + 0 + 6⁶ + 3² + 3¹² + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (2806333) 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, 11623 + ... + 11861.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

2^2806338 is an apocalyptic number.

2806338 is an abundant number, since it is smaller than the sum of its proper divisors (3184062).

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

2806338 is a wasteful number, since it uses less digits than its factorization.

2806338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2806338 is about 1675.2128223005. The cubic root of 2806338 is about 141.0522415944.

The spelling of 2806338 in words is "two million, eight hundred six thousand, three hundred thirty-eight".