2584740017 has 2 divisors, whose sum is σ = 2584740018. Its totient is φ = 2584740016.

The previous prime is 2584740001. The next prime is 2584740029. The reversal of 2584740017 is 7100474852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2040870976 + 543869041 = 45176^2 + 23321^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584740017 - 2⁴ = 2584740001 is a prime.

It is a super-3 number, since 3×2584740017³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2584740097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292370008 + 1292370009.

It is an arithmetic number, because the mean of its divisors is an integer number (1292370009).

Almost surely, 2^2584740017 is an apocalyptic number.

It is an amenable number.

2584740017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584740017 is an equidigital number, since it uses as much as digits as its factorization.

2584740017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 2584740017 is about 50840.3384823508. The cubic root of 2584740017 is about 1372.3733908866.

The spelling of 2584740017 in words is "two billion, five hundred eighty-four million, seven hundred forty thousand, seventeen".