2663640 has 144 divisors (see below), whose sum is σ = 10136880. Its totient is φ = 604800.

The previous prime is 2663627. The next prime is 2663651. The reversal of 2663640 is 463662.

2663640 is a `hidden beast` number, since 26 + 636 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17565 + ... + 17715.

It is an arithmetic number, because the mean of its divisors is an integer number (70395).

2^2663640 is an apocalyptic number.

2663640 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 2663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068440).

2663640 is an abundant number, since it is smaller than the sum of its proper divisors (7473240).

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

2663640 is a wasteful number, since it uses less digits than its factorization.

2663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2663640 is about 1632.0661751289. The cubic root of 2663640 is about 138.6197706722.

The spelling of 2663640 in words is "two million, six hundred sixty-three thousand, six hundred forty".