2666305200 has 240 divisors, whose sum is σ = 9339013376. Its totient is φ = 646272000.

The previous prime is 2666305193. The next prime is 2666305219. The reversal of 2666305200 is 25036662.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043925 + ... + 1046475.

Almost surely, 2^2666305200 is an apocalyptic number.

2666305200 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 2666305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669506688).

2666305200 is an abundant number, since it is smaller than the sum of its proper divisors (6672708176).

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

2666305200 is a wasteful number, since it uses less digits than its factorization.

2666305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2666305200 is about 51636.2779448713. The cubic root of 2666305200 is about 1386.6598891229.

The spelling of 2666305200 in words is "two billion, six hundred sixty-six million, three hundred five thousand, two hundred".