2666617873920 has 3200 divisors, whose sum is σ = 13295839011840. Its totient is φ = 492727173120.

The previous prime is 2666617873919. The next prime is 2666617873957. The reversal of 2666617873920 is 293787166662.

2666617873920 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 2×2666617873920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6019453219 + ... + 6019453661.

Almost surely, 2^{2666617873920} is an apocalyptic number.

2666617873920 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 2666617873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647919505920).

2666617873920 is an abundant number, since it is smaller than the sum of its proper divisors (10629221137920).

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

2666617873920 is a wasteful number, since it uses less digits than its factorization.

2666617873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2666617873920 in words is "two trillion, six hundred sixty-six billion, six hundred seventeen million, eight hundred seventy-three thousand, nine hundred twenty".