2611744013141 has 16 divisors (see below), whose sum is σ = 2791821265200. Its totient is φ = 2434622496768.

The previous prime is 2611744013117. The next prime is 2611744013191. The reversal of 2611744013141 is 1413104471162.

It can be written as a sum of positive squares in 8 ways, for example, as 3263836900 + 2608480176241 = 57130^2 + 1615079^2 .

It is a cyclic number.

It is not a de Polignac number, because 2611744013141 - 2⁶ = 2611744013077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611744013191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564361 + ... + 5104593.

It is an arithmetic number, because the mean of its divisors is an integer number (174488829075).

Almost surely, 2^{2611744013141} is an apocalyptic number.

It is an amenable number.

2611744013141 is a deficient number, since it is larger than the sum of its proper divisors (180077252059).

2611744013141 is a wasteful number, since it uses less digits than its factorization.

2611744013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542968.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 2611744013141 in words is "two trillion, six hundred eleven billion, seven hundred forty-four million, thirteen thousand, one hundred forty-one".