2523648 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 798720.

The previous prime is 2523643. The next prime is 2523671. The reversal of 2523648 is 8463252.

It is not an unprimeable number, because it can be changed into a prime (2523641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47590 + ... + 47642.

2^2523648 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 2523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2523648 is an abundant number, since it is smaller than the sum of its proper divisors (4547328).

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

2523648 is an equidigital number, since it uses as much as digits as its factorization.

2523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2523648 is about 1588.5993831045. The cubic root of 2523648 is about 136.1474755476.

The spelling of 2523648 in words is "two million, five hundred twenty-three thousand, six hundred forty-eight".