2758346105011 has 16 divisors (see below), whose sum is σ = 3197008631808. Its totient is φ = 2330841290400.

The previous prime is 2758346104949. The next prime is 2758346105087. The reversal of 2758346105011 is 1105016438572.

2758346105011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2758346105011 - 2¹⁹ = 2758345580723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2758346106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7606326 + ... + 7960708.

It is an arithmetic number, because the mean of its divisors is an integer number (199813039488).

Almost surely, 2^{2758346105011} is an apocalyptic number.

2758346105011 is a deficient number, since it is larger than the sum of its proper divisors (438662526797).

2758346105011 is a wasteful number, since it uses less digits than its factorization.

2758346105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370122.

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 2758346105011 in words is "two trillion, seven hundred fifty-eight billion, three hundred forty-six million, one hundred five thousand, eleven".