2666567820800 has 480 divisors, whose sum is σ = 7365128601600. Its totient is φ = 950125363200.

The previous prime is 2666567820779. The next prime is 2666567820881. The reversal of 2666567820800 is 80287656662.

2666567820800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666567820800² (a number of 26 digits) 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 47 ways as a sum of consecutive naturals, for example, 3089881169 + ... + 3089882031.

It is an arithmetic number, because the mean of its divisors is an integer number (15344017920).

Almost surely, 2^{2666567820800} is an apocalyptic number.

2666567820800 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 2666567820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682564300800).

2666567820800 is an abundant number, since it is smaller than the sum of its proper divisors (4698560780800).

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

2666567820800 is a wasteful number, since it uses less digits than its factorization.

2666567820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 2666567820800 in words is "two trillion, six hundred sixty-six billion, five hundred sixty-seven million, eight hundred twenty thousand, eight hundred".