2481754590209 has 2 divisors, whose sum is σ = 2481754590210. Its totient is φ = 2481754590208.

The previous prime is 2481754590169. The next prime is 2481754590221. The reversal of 2481754590209 is 9020954571842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2379469757809 + 102284832400 = 1542553^2 + 319820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2481754590209 - 2⁴⁰ = 1382242962433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2481754590709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1240877295104 + 1240877295105.

It is an arithmetic number, because the mean of its divisors is an integer number (1240877295105).

Almost surely, 2^{2481754590209} is an apocalyptic number.

It is an amenable number.

2481754590209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2481754590209 is an equidigital number, since it uses as much as digits as its factorization.

2481754590209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 56.

It can be divided in two parts, 248175 and 4590209, that added together give a palindrome (4838384).

The spelling of 2481754590209 in words is "two trillion, four hundred eighty-one billion, seven hundred fifty-four million, five hundred ninety thousand, two hundred nine".