2427648 has 72 divisors (see below), whose sum is σ = 6745200. Its totient is φ = 774144.

The previous prime is 2427647. The next prime is 2427683. The reversal of 2427648 is 8467242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22218 + ... + 22326.

2^2427648 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 2427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372600).

2427648 is an abundant number, since it is smaller than the sum of its proper divisors (4317552).

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

2427648 is a wasteful number, since it uses less digits than its factorization.

2427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2427648 is about 1558.0911398246. The cubic root of 2427648 is about 134.3987528229.

It can be divided in two parts, 24 and 27648, that added together give a palindrome (27672).

The spelling of 2427648 in words is "two million, four hundred twenty-seven thousand, six hundred forty-eight".