2666478800 has 120 divisors (see below), whose sum is σ = 6517148352. Its totient is φ = 1048320000.

The previous prime is 2666478799. The next prime is 2666478817. The reversal of 2666478800 is 88746662.

It is a super-2 number, since 2×2666478800² = 14220218381698880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7912232 + ... + 7912568.

Almost surely, 2^2666478800 is an apocalyptic number.

2666478800 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 2666478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258574176).

2666478800 is an abundant number, since it is smaller than the sum of its proper divisors (3850669552).

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

2666478800 is a wasteful number, since it uses less digits than its factorization.

2666478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 2666478800 is about 51637.9589062155. The cubic root of 2666478800 is about 1386.6899830687.

The spelling of 2666478800 in words is "two billion, six hundred sixty-six million, four hundred seventy-eight thousand, eight hundred".