2742461467753 has 16 divisors (see below), whose sum is σ = 3319172446464. Its totient is φ = 2212030149120.

The previous prime is 2742461467727. The next prime is 2742461467799. The reversal of 2742461467753 is 3577641642472.

It is a happy number.

2742461467753 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2742461467753 - 2⁹ = 2742461467241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2742461467723) 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, 1252293 + ... + 2655778.

It is an arithmetic number, because the mean of its divisors is an integer number (207448277904).

Almost surely, 2^{2742461467753} is an apocalyptic number.

It is an amenable number.

2742461467753 is a deficient number, since it is larger than the sum of its proper divisors (576710978711).

2742461467753 is a wasteful number, since it uses less digits than its factorization.

2742461467753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913992.

The product of its digits is 47416320, while the sum is 58.

The spelling of 2742461467753 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, four hundred sixty-seven thousand, seven hundred fifty-three".