2741606311653 has 48 divisors (see below), whose sum is σ = 4574638575936. Its totient is φ = 1563700216320.

The previous prime is 2741606311651. The next prime is 2741606311681. The reversal of 2741606311653 is 3561136061472.

2741606311653 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 6 + 0 + 631 + 1 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 2741606311653 - 2¹ = 2741606311651 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2741606311599 and 2741606311608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741606311651) 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 47 ways as a sum of consecutive naturals, for example, 20555326 + ... + 20688272.

It is an arithmetic number, because the mean of its divisors is an integer number (95304970332).

Almost surely, 2^{2741606311653} is an apocalyptic number.

It is an amenable number.

2741606311653 is a deficient number, since it is larger than the sum of its proper divisors (1833032264283).

2741606311653 is a wasteful number, since it uses less digits than its factorization.

2741606311653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145234 (or 145231 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2741606311653 in words is "two trillion, seven hundred forty-one billion, six hundred six million, three hundred eleven thousand, six hundred fifty-three".