2666688000 has 640 divisors, whose sum is σ = 10111495680. Its totient is φ = 619315200.

The previous prime is 2666687999. The next prime is 2666688047. The reversal of 2666688000 is 8866662.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2666688000² = 14222449778688000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62015979 + ... + 62016021.

It is an arithmetic number, because the mean of its divisors is an integer number (15799212).

Almost surely, 2^2666688000 is an apocalyptic number.

2666688000 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 2666688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055747840).

2666688000 is an abundant number, since it is smaller than the sum of its proper divisors (7444807680).

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

2666688000 is a wasteful number, since it uses less digits than its factorization.

2666688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2666688000 is about 51639.9845081309. The cubic root of 2666688000 is about 1386.7262466182.

The spelling of 2666688000 in words is "two billion, six hundred sixty-six million, six hundred eighty-eight thousand".