2666187912960 has 3024 divisors, whose sum is σ = 11921740457760. Its totient is φ = 565187051520.

The previous prime is 2666187912923. The next prime is 2666187912977. The reversal of 2666187912960 is 692197816662.

It is a super-3 number, since 3×2666187912960³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 50305432294 + ... + 50305432346.

It is an arithmetic number, because the mean of its divisors is an integer number (3942374490).

Almost surely, 2^{2666187912960} is an apocalyptic number.

2666187912960 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 2666187912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960870228880).

2666187912960 is an abundant number, since it is smaller than the sum of its proper divisors (9255552544800).

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

2666187912960 is a wasteful number, since it uses less digits than its factorization.

2666187912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2666187912960 in words is "two trillion, six hundred sixty-six billion, one hundred eighty-seven million, nine hundred twelve thousand, nine hundred sixty".