2540591 has 2 divisors, whose sum is σ = 2540592. Its totient is φ = 2540590.

The previous prime is 2540581. The next prime is 2540597. The reversal of 2540591 is 1950452.

2540591 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 is a cyclic number.

It is not a de Polignac number, because 2540591 - 2¹⁰ = 2539567 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2540591.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540597) 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, 1270295 + 1270296.

It is an arithmetic number, because the mean of its divisors is an integer number (1270296).

2^2540591 is an apocalyptic number.

2540591 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540591 is an equidigital number, since it uses as much as digits as its factorization.

2540591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 2540591 is about 1593.9231474572. The cubic root of 2540591 is about 136.4514803828.

The spelling of 2540591 in words is "two million, five hundred forty thousand, five hundred ninety-one".