2668000 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 985600.

The previous prime is 2667989. The next prime is 2668027. The reversal of 2668000 is 8662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91986 + ... + 92014.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2668000 is an apocalyptic number.

2668000 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 2668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2668000 is an abundant number, since it is smaller than the sum of its proper divisors (4408160).

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

2668000 is a wasteful number, since it uses less digits than its factorization.

2668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2668000 is about 1633.4013591276. The cubic root of 2668000 is about 138.6953630617.

The spelling of 2668000 in words is "two million, six hundred sixty-eight thousand".