2584741327 has 20 divisors (see below), whose sum is σ = 3043835496. Its totient is φ = 2194568880.

The previous prime is 2584741283. The next prime is 2584741333. The reversal of 2584741327 is 7231474852.

It is not a de Polignac number, because 2584741327 - 2⁷ = 2584741199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584741337) 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 19 ways as a sum of consecutive naturals, for example, 251877 + ... + 261937.

Almost surely, 2^2584741327 is an apocalyptic number.

2584741327 is a deficient number, since it is larger than the sum of its proper divisors (459094169).

2584741327 is an equidigital number, since it uses as much as digits as its factorization.

2584741327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196 (or 10175 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 2584741327 is about 50840.3513658197. The cubic root of 2584741327 is about 1372.3736227357.

The spelling of 2584741327 in words is "two billion, five hundred eighty-four million, seven hundred forty-one thousand, three hundred twenty-seven".