2809641 has 16 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 1740288.

The previous prime is 2809637. The next prime is 2809643. The reversal of 2809641 is 1469082.

It is not a de Polignac number, because 2809641 - 2² = 2809637 is a prime.

2809641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2809599 and 2809608.

It is not an unprimeable number, because it can be changed into a prime (2809643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4230 + ... + 4848.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

2^2809641 is an apocalyptic number.

It is an amenable number.

2809641 is a deficient number, since it is larger than the sum of its proper divisors (1207959).

2809641 is a wasteful number, since it uses less digits than its factorization.

2809641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2809641 is about 1676.1983772812. The cubic root of 2809641 is about 141.1075583916.

The spelling of 2809641 in words is "two million, eight hundred nine thousand, six hundred forty-one".