2806401 has 16 divisors (see below), whose sum is σ = 4060224. Its totient is φ = 1713984.

The previous prime is 2806387. The next prime is 2806439. The reversal of 2806401 is 1046082.

It is not a de Polignac number, because 2806401 - 2⁵ = 2806369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2806201) 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, 8695 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (253764).

2^2806401 is an apocalyptic number.

It is an amenable number.

2806401 is a deficient number, since it is larger than the sum of its proper divisors (1253823).

2806401 is a wasteful number, since it uses less digits than its factorization.

2806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2806401 is about 1675.2316257760. The cubic root of 2806401 is about 141.0532970891.

The spelling of 2806401 in words is "two million, eight hundred six thousand, four hundred one".