2813248 has 28 divisors (see below), whose sum is σ = 5646420. Its totient is φ = 1390592.

The previous prime is 2813227. The next prime is 2813249. The reversal of 2813248 is 8423182.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 2534464 = 528^2 + 1592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7038 + ... + 7426.

2^2813248 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 2813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823210).

2813248 is an abundant number, since it is smaller than the sum of its proper divisors (2833172).

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

2813248 is a wasteful number, since it uses less digits than its factorization.

2813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 2813248 is about 1677.2739788120. The cubic root of 2813248 is about 141.1679169109.

The spelling of 2813248 in words is "two million, eight hundred thirteen thousand, two hundred forty-eight".