2048127007267 has 32 divisors (see below), whose sum is σ = 2397669336000. Its totient is φ = 1728852787200.

The previous prime is 2048127007207. The next prime is 2048127007273. The reversal of 2048127007267 is 7627007218402.

It is not a de Polignac number, because 2048127007267 - 2¹⁵ = 2048126974499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048127007207) 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, 7335667 + ... + 7609747.

It is an arithmetic number, because the mean of its divisors is an integer number (74927166750).

Almost surely, 2^{2048127007267} is an apocalyptic number.

2048127007267 is a deficient number, since it is larger than the sum of its proper divisors (349542328733).

2048127007267 is a wasteful number, since it uses less digits than its factorization.

2048127007267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274647.

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 2048127007267 in words is "two trillion, forty-eight billion, one hundred twenty-seven million, seven thousand, two hundred sixty-seven".