2648448 has 144 divisors (see below), whose sum is σ = 8817900. Its totient is φ = 760320.

The previous prime is 2648419. The next prime is 2648449. The reversal of 2648448 is 8448462.

2648448 is a `hidden beast` number, since 2 + 648 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2²¹ + 6⁷ + 4⁶ + 8³ + 4⁶ + 4⁹ + 8³ .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648449) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 139383 + ... + 139401.

2^2648448 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 2648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408950).

2648448 is an abundant number, since it is smaller than the sum of its proper divisors (6169452).

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

2648448 is a wasteful number, since it uses less digits than its factorization.

2648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2648448 is about 1627.4052967838. The cubic root of 2648448 is about 138.3557299909.

The spelling of 2648448 in words is "two million, six hundred forty-eight thousand, four hundred forty-eight".