2668900 has 36 divisors (see below), whose sum is σ = 6240052. Its totient is φ = 984960.

The previous prime is 2668889. The next prime is 2668903. The reversal of 2668900 is 98662.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 2390116 = 528^2 + 1546^2 .

It is not an unprimeable number, because it can be changed into a prime (2668903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274 + ... + 2326.

2^2668900 is an apocalyptic number.

2668900 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 2668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120026).

2668900 is an abundant number, since it is smaller than the sum of its proper divisors (3571152).

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

2668900 is a wasteful number, since it uses less digits than its factorization.

2668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2668900 is about 1633.6768346280. The cubic root of 2668900 is about 138.7109567390.

The spelling of 2668900 in words is "two million, six hundred sixty-eight thousand, nine hundred".