2704973580289 has 2 divisors, whose sum is σ = 2704973580290. Its totient is φ = 2704973580288.

The previous prime is 2704973580227. The next prime is 2704973580299. The reversal of 2704973580289 is 9820853794072.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1665609642225 + 1039363938064 = 1290585^2 + 1019492^2 .

It is a cyclic number.

It is not a de Polignac number, because 2704973580289 - 2¹³ = 2704973572097 is a prime.

It is a super-2 number, since 2×2704973580289² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2704973580289.

It is not a weakly prime, because it can be changed into another prime (2704973580299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352486790144 + 1352486790145.

It is an arithmetic number, because the mean of its divisors is an integer number (1352486790145).

Almost surely, 2^{2704973580289} is an apocalyptic number.

It is an amenable number.

2704973580289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2704973580289 is an equidigital number, since it uses as much as digits as its factorization.

2704973580289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 2704973580289 in words is "two trillion, seven hundred four billion, nine hundred seventy-three million, five hundred eighty thousand, two hundred eighty-nine".