2547248 has 40 divisors (see below), whose sum is σ = 5530896. Its totient is φ = 1126400.

The previous prime is 2547247. The next prime is 2547253. The reversal of 2547248 is 8427452.

2547248 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2547247) 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 7 ways as a sum of consecutive naturals, for example, 7040 + ... + 7392.

2^2547248 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 2547248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765448).

2547248 is an abundant number, since it is smaller than the sum of its proper divisors (2983648).

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

2547248 is a wasteful number, since it uses less digits than its factorization.

2547248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 2547248 is about 1596.0100250312. The cubic root of 2547248 is about 136.5705557320.

Subtracting from 2547248 its sum of digits (32), we obtain a square (2547216 = 1596²).

The spelling of 2547248 in words is "two million, five hundred forty-seven thousand, two hundred forty-eight".