2541116631205 has 8 divisors (see below), whose sum is σ = 3056944298904. Its totient is φ = 2027823744000.

The previous prime is 2541116631173. The next prime is 2541116631217. The reversal of 2541116631205 is 5021366111452.

2541116631205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 311473377604 + 2229643253601 = 558098^2 + 1493199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2541116631205 - 2⁵ = 2541116631173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633692916 + ... + 633696925.

It is an arithmetic number, because the mean of its divisors is an integer number (382118037363).

Almost surely, 2^{2541116631205} is an apocalyptic number.

It is an amenable number.

2541116631205 is a deficient number, since it is larger than the sum of its proper divisors (515827667699).

2541116631205 is a wasteful number, since it uses less digits than its factorization.

2541116631205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267390247.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2541116631205 in words is "two trillion, five hundred forty-one billion, one hundred sixteen million, six hundred thirty-one thousand, two hundred five".