2666021100 has 216 divisors, whose sum is σ = 8254471680. Its totient is φ = 664191360.

The previous prime is 2666021047. The next prime is 2666021117. The reversal of 2666021100 is 11206662.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11154781 + ... + 11155019.

Almost surely, 2^2666021100 is an apocalyptic number.

2666021100 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 2666021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2666021100 is an abundant number, since it is smaller than the sum of its proper divisors (5588450580).

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

2666021100 is a wasteful number, since it uses less digits than its factorization.

2666021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2666021100 is about 51633.5268987118. The cubic root of 2666021100 is about 1386.6106369383.

Adding to 2666021100 its reverse (11206662), we get a palindrome (2677227762).

The spelling of 2666021100 in words is "two billion, six hundred sixty-six million, twenty-one thousand, one hundred".