2667531585745 has 16 divisors (see below), whose sum is σ = 3447703545552. Its totient is φ = 1969622645760.

The previous prime is 2667531585743. The next prime is 2667531585767. The reversal of 2667531585745 is 5475851357662.

It can be written as a sum of positive squares in 8 ways, for example, as 906347792529 + 1761183793216 = 952023^2 + 1327096^2 .

It is not a de Polignac number, because 2667531585745 - 2¹ = 2667531585743 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2667531585743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047636 + ... + 3086725.

It is an arithmetic number, because the mean of its divisors is an integer number (215481471597).

Almost surely, 2^{2667531585745} is an apocalyptic number.

It is an amenable number.

2667531585745 is a deficient number, since it is larger than the sum of its proper divisors (780171959807).

2667531585745 is a wasteful number, since it uses less digits than its factorization.

2667531585745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142372.

The product of its digits is 211680000, while the sum is 64.

The spelling of 2667531585745 in words is "two trillion, six hundred sixty-seven billion, five hundred thirty-one million, five hundred eighty-five thousand, seven hundred forty-five".