2648640 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 675840.

The previous prime is 2648629. The next prime is 2648669. The reversal of 2648640 is 468462.

2648640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2648598 and 2648607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29716 + ... + 29804.

2^2648640 is an apocalyptic number.

2648640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2648640 is an abundant number, since it is smaller than the sum of its proper divisors (6129600).

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

2648640 is a wasteful number, since it uses less digits than its factorization.

2648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2648640 is about 1627.4642853224. The cubic root of 2648640 is about 138.3590732896.

2648640 divided by its sum of digits (30) gives a palindrome (88288).

The spelling of 2648640 in words is "two million, six hundred forty-eight thousand, six hundred forty".