2671248272 has 120 divisors (see below), whose sum is σ = 6530832000. Its totient is φ = 1036062720.

The previous prime is 2671248241. The next prime is 2671248289. The reversal of 2671248272 is 2728421762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5949104 + ... + 5949552.

It is an arithmetic number, because the mean of its divisors is an integer number (54423600).

Almost surely, 2^2671248272 is an apocalyptic number.

2671248272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265416000).

2671248272 is an abundant number, since it is smaller than the sum of its proper divisors (3859583728).

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

2671248272 is a wasteful number, since it uses less digits than its factorization.

2671248272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 908 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 2671248272 is about 51684.1201144026. The cubic root of 2671248272 is about 1387.5162712374.

The spelling of 2671248272 in words is "two billion, six hundred seventy-one million, two hundred forty-eight thousand, two hundred seventy-two".