2598680593 has 2 divisors, whose sum is σ = 2598680594. Its totient is φ = 2598680592.

The previous prime is 2598680501. The next prime is 2598680603. The reversal of 2598680593 is 3950868952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2364682384 + 233998209 = 48628^2 + 15297^2 .

It is a cyclic number.

It is not a de Polignac number, because 2598680593 - 2¹⁷ = 2598549521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2598680993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1299340296 + 1299340297.

It is an arithmetic number, because the mean of its divisors is an integer number (1299340297).

Almost surely, 2^2598680593 is an apocalyptic number.

It is an amenable number.

2598680593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2598680593 is an equidigital number, since it uses as much as digits as its factorization.

2598680593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 55.

The square root of 2598680593 is about 50977.2556440615. The cubic root of 2598680593 is about 1374.8362282961.

The spelling of 2598680593 in words is "two billion, five hundred ninety-eight million, six hundred eighty thousand, five hundred ninety-three".