2668680 has 128 divisors (see below), whose sum is σ = 10195200. Its totient is φ = 608256.

The previous prime is 2668669. The next prime is 2668693. The reversal of 2668680 is 868662.

2668680 = 140² + 141² + ... + 220².

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

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 6² + 8³ + 6⁶ + 8⁷ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7384 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (79650).

2^2668680 is an apocalyptic number.

2668680 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 2668680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097600).

2668680 is an abundant number, since it is smaller than the sum of its proper divisors (7526520).

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

2668680 is a wasteful number, since it uses less digits than its factorization.

2668680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2668680 is about 1633.6095004621. The cubic root of 2668680 is about 138.7071452750.

The spelling of 2668680 in words is "two million, six hundred sixty-eight thousand, six hundred eighty".