2668640 has 48 divisors (see below), whose sum is σ = 6794928. Its totient is φ = 984576.

The previous prime is 2668639. The next prime is 2668663. The reversal of 2668640 is 468662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2668597 and 2668606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (141561).

2^2668640 is an apocalyptic number.

2668640 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 2668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397464).

2668640 is an abundant number, since it is smaller than the sum of its proper divisors (4126288).

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

2668640 is a wasteful number, since it uses less digits than its factorization.

2668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2668640 is about 1633.5972575883. The cubic root of 2668640 is about 138.7064522590.

The spelling of 2668640 in words is "two million, six hundred sixty-eight thousand, six hundred forty".