2580434657 has 2 divisors, whose sum is σ = 2580434658. Its totient is φ = 2580434656.

The previous prime is 2580434551. The next prime is 2580434683. The reversal of 2580434657 is 7564340852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2568867856 + 11566801 = 50684^2 + 3401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2580434657 - 2¹⁰ = 2580433633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2580434357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290217328 + 1290217329.

It is an arithmetic number, because the mean of its divisors is an integer number (1290217329).

Almost surely, 2^2580434657 is an apocalyptic number.

It is an amenable number.

2580434657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2580434657 is an equidigital number, since it uses as much as digits as its factorization.

2580434657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 44.

The square root of 2580434657 is about 50797.9788672738. The cubic root of 2580434657 is about 1371.6109873049.

The spelling of 2580434657 in words is "two billion, five hundred eighty million, four hundred thirty-four thousand, six hundred fifty-seven".