2582401 has 2 divisors, whose sum is σ = 2582402. Its totient is φ = 2582400.

The previous prime is 2582399. The next prime is 2582407. The reversal of 2582401 is 1042852.

2582401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2556801 + 25600 = 1599^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582401 - 2¹ = 2582399 is a prime.

Together with 2582399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2582407) 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, 1291200 + 1291201.

It is an arithmetic number, because the mean of its divisors is an integer number (1291201).

2^2582401 is an apocalyptic number.

It is an amenable number.

2582401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582401 is an equidigital number, since it uses as much as digits as its factorization.

2582401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2582401 is about 1606.9850652697. The cubic root of 2582401 is about 137.1959297214.

The spelling of 2582401 in words is "two million, five hundred eighty-two thousand, four hundred one".