2584259041 has 16 divisors (see below), whose sum is σ = 3185883904. Its totient is φ = 2041308864.

The previous prime is 2584259017. The next prime is 2584259053. The reversal of 2584259041 is 1409524852.

It is a happy number.

It is not a de Polignac number, because 2584259041 - 2¹¹ = 2584256993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2584258985 and 2584259003.

It is not an unprimeable number, because it can be changed into a prime (2584259071) 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 in 15 ways as a sum of consecutive naturals, for example, 32620 + ... + 78946.

It is an arithmetic number, because the mean of its divisors is an integer number (199117744).

Almost surely, 2^2584259041 is an apocalyptic number.

It is an amenable number.

2584259041 is a deficient number, since it is larger than the sum of its proper divisors (601624863).

2584259041 is a wasteful number, since it uses less digits than its factorization.

2584259041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46960.

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 2584259041 is about 50835.6080026589. The cubic root of 2584259041 is about 1372.2882605180.

The spelling of 2584259041 in words is "two billion, five hundred eighty-four million, two hundred fifty-nine thousand, forty-one".