2589641 has 2 divisors, whose sum is σ = 2589642. Its totient is φ = 2589640.

The previous prime is 2589623. The next prime is 2589649. The reversal of 2589641 is 1469852.

2589641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2042041 + 547600 = 1429^2 + 740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589641 - 2⁶ = 2589577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2589649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294820 + 1294821.

It is an arithmetic number, because the mean of its divisors is an integer number (1294821).

2^2589641 is an apocalyptic number.

It is an amenable number.

2589641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589641 is an equidigital number, since it uses as much as digits as its factorization.

2589641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The square root of 2589641 is about 1609.2361542048. The cubic root of 2589641 is about 137.3240239131.

The spelling of 2589641 in words is "two million, five hundred eighty-nine thousand, six hundred forty-one".