2666980800 has 504 divisors, whose sum is σ = 10502341200. Its totient is φ = 636518400.

The previous prime is 2666980793. The next prime is 2666980819. The reversal of 2666980800 is 80896662.

It is a super-2 number, since 2×2666980800² = 14225573175137280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 17899126 + ... + 17899274.

Almost surely, 2^2666980800 is an apocalyptic number.

2666980800 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 2666980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251170600).

2666980800 is an abundant number, since it is smaller than the sum of its proper divisors (7835360400).

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

2666980800 is a wasteful number, since it uses less digits than its factorization.

2666980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2666980800 is about 51642.8194427841. The cubic root of 2666980800 is about 1386.7769985353.

The spelling of 2666980800 in words is "two billion, six hundred sixty-six million, nine hundred eighty thousand, eight hundred".