2589940905217 has 2 divisors, whose sum is σ = 2589940905218. Its totient is φ = 2589940905216.

The previous prime is 2589940905193. The next prime is 2589940905239. The reversal of 2589940905217 is 7125090499852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2106448752321 + 483492152896 = 1451361^2 + 695336^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589940905217 - 2⁷ = 2589940905089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2589940903217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294970452608 + 1294970452609.

It is an arithmetic number, because the mean of its divisors is an integer number (1294970452609).

Almost surely, 2^{2589940905217} is an apocalyptic number.

It is an amenable number.

2589940905217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589940905217 is an equidigital number, since it uses as much as digits as its factorization.

2589940905217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 2589940905217 in words is "two trillion, five hundred eighty-nine billion, nine hundred forty million, nine hundred five thousand, two hundred seventeen".