2261074431741 has 16 divisors (see below), whose sum is σ = 3038753193984. Its totient is φ = 1495391257584.

The previous prime is 2261074431731. The next prime is 2261074431779. The reversal of 2261074431741 is 1471344701622.

It is not a de Polignac number, because 2261074431741 - 2⁷ = 2261074431613 is a prime.

It is a super-2 number, since 2×2261074431741² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261074431693 and 2261074431702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261074431731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4535916 + ... + 5009658.

It is an arithmetic number, because the mean of its divisors is an integer number (189922074624).

Almost surely, 2^{2261074431741} is an apocalyptic number.

It is an amenable number.

2261074431741 is a deficient number, since it is larger than the sum of its proper divisors (777678762243).

2261074431741 is a wasteful number, since it uses less digits than its factorization.

2261074431741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486400.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 2261074431741 in words is "two trillion, two hundred sixty-one billion, seventy-four million, four hundred thirty-one thousand, seven hundred forty-one".