2582441 has 2 divisors, whose sum is σ = 2582442. Its totient is φ = 2582440.

The previous prime is 2582407. The next prime is 2582443. The reversal of 2582441 is 1442852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2544025 + 38416 = 1595^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582441 - 2¹⁰ = 2581417 is a prime.

Together with 2582443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2582441.

It is not a weakly prime, because it can be changed into another prime (2582443) 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 as a sum of consecutive naturals, namely, 1291220 + 1291221.

It is an arithmetic number, because the mean of its divisors is an integer number (1291221).

2^2582441 is an apocalyptic number.

It is an amenable number.

2582441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582441 is an equidigital number, since it uses as much as digits as its factorization.

2582441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2560, while the sum is 26.

The square root of 2582441 is about 1606.9975108879. The cubic root of 2582441 is about 137.1966380814.

The spelling of 2582441 in words is "two million, five hundred eighty-two thousand, four hundred forty-one".