2647648 has 48 divisors (see below), whose sum is σ = 5733504. Its totient is φ = 1198080.

The previous prime is 2647643. The next prime is 2647649. The reversal of 2647648 is 8467462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2647643) 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, 16786 + ... + 16942.

It is an arithmetic number, because the mean of its divisors is an integer number (119448).

2^2647648 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 2647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866752).

2647648 is an abundant number, since it is smaller than the sum of its proper divisors (3085856).

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

2647648 is a wasteful number, since it uses less digits than its factorization.

2647648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 2647648 is about 1627.1594881879. The cubic root of 2647648 is about 138.3417978401.

It can be divided in two parts, 264764 and 8, that multiplied together give a palindrome (2118112).

The spelling of 2647648 in words is "two million, six hundred forty-seven thousand, six hundred forty-eight".