2917248 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 949760.

The previous prime is 2917237. The next prime is 2917253. The reversal of 2917248 is 8427192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27211 + ... + 27317.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

2^2917248 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 2917248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

2917248 is an abundant number, since it is smaller than the sum of its proper divisors (5014272).

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

2917248 is a wasteful number, since it uses less digits than its factorization.

2917248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

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

The square root of 2917248 is about 1707.9953161528. The cubic root of 2917248 is about 142.8864732158.

The spelling of 2917248 in words is "two million, nine hundred seventeen thousand, two hundred forty-eight".