2971248 has 80 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 822528.

The previous prime is 2971247. The next prime is 2971259. The reversal of 2971248 is 8421792.

It is a happy number.

2971248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2971248³ = 78693336986713214976, which contains 333 as substring.

Its product of digits (8064) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12313 + ... + 12551.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

2^2971248 is an apocalyptic number.

2971248 is a gapful number since it is divisible by the number (28) 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 2971248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

2971248 is an abundant number, since it is smaller than the sum of its proper divisors (6075792).

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

2971248 is a wasteful number, since it uses less digits than its factorization.

2971248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2971248 is about 1723.7308374569. The cubic root of 2971248 is about 143.7627265355.

The spelling of 2971248 in words is "two million, nine hundred seventy-one thousand, two hundred forty-eight".