2806336 has 28 divisors (see below), whose sum is σ = 5998972. Its totient is φ = 1294848.

The previous prime is 2806333. The next prime is 2806351. The reversal of 2806336 is 6336082.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 1000000 = 1344^2 + 1000^2 .

It is a d-powerful number, because it can be written as 2¹⁷ + 8⁷ + 0 + 6 + 3² + 3¹² + 6⁶ .

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 3 ways as a sum of consecutive naturals, for example, 855 + ... + 2518.

It is an arithmetic number, because the mean of its divisors is an integer number (214249).

2^2806336 is an apocalyptic number.

2806336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2806336 is an abundant number, since it is smaller than the sum of its proper divisors (3192636).

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

2806336 is a wasteful number, since it uses less digits than its factorization.

2806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2806336 is about 1675.2122253613. The cubic root of 2806336 is about 141.0522080863.

The spelling of 2806336 in words is "two million, eight hundred six thousand, three hundred thirty-six".