2671054671272 has 192 divisors, whose sum is σ = 5958579594240. Its totient is φ = 1111874549760.

The previous prime is 2671054671253. The next prime is 2671054671347. The reversal of 2671054671272 is 2721764501762.

It is a self number, because there is not a number n which added to its sum of digits gives 2671054671272.

It is an unprimeable number.

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, 174994313 + ... + 175009575.

It is an arithmetic number, because the mean of its divisors is an integer number (31034268720).

Almost surely, 2^{2671054671272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671054671272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979289797120).

2671054671272 is an abundant number, since it is smaller than the sum of its proper divisors (3287524922968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2671054671272 is a wasteful number, since it uses less digits than its factorization.

2671054671272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 2671054671272 in words is "two trillion, six hundred seventy-one billion, fifty-four million, six hundred seventy-one thousand, two hundred seventy-two".