2742413660311 has 32 divisors (see below), whose sum is σ = 3114937728000. Its totient is φ = 2393500399488.

The previous prime is 2742413660291. The next prime is 2742413660341. The reversal of 2742413660311 is 1130663142472.

2742413660311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2742413660311 - 2¹¹ = 2742413658263 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 (2742413660341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414321160 + ... + 414327778.

It is an arithmetic number, because the mean of its divisors is an integer number (97341804000).

Almost surely, 2^{2742413660311} is an apocalyptic number.

2742413660311 is a deficient number, since it is larger than the sum of its proper divisors (372524067689).

2742413660311 is a wasteful number, since it uses less digits than its factorization.

2742413660311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703.

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 2742413660311 in words is "two trillion, seven hundred forty-two billion, four hundred thirteen million, six hundred sixty thousand, three hundred eleven".