2671248 has 80 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 806400.

The previous prime is 2671241. The next prime is 2671271. The reversal of 2671248 is 8421762.

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 7⁵ + 1 + 2²¹ + 4² + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (2671241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26398 + ... + 26498.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

2^2671248 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 2671248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

2671248 is an abundant number, since it is smaller than the sum of its proper divisors (4917552).

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

2671248 is a wasteful number, since it uses less digits than its factorization.

2671248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2671248 is about 1634.3953010211. The cubic root of 2671248 is about 138.7516224143.

The spelling of 2671248 in words is "two million, six hundred seventy-one thousand, two hundred forty-eight".