2666962688000 has 192 divisors, whose sum is σ = 7167054454560. Its totient is φ = 984723456000.

The previous prime is 2666962687979. The next prime is 2666962688003. The reversal of 2666962688000 is 8862696662.

It is a happy number.

It is a super-3 number, since 3×2666962688000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666962688003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2927315 + ... + 3728685.

Almost surely, 2^{2666962688000} is an apocalyptic number.

2666962688000 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 2666962688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583527227280).

2666962688000 is an abundant number, since it is smaller than the sum of its proper divisors (4500091766560).

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

2666962688000 is an equidigital number, since it uses as much as digits as its factorization.

2666962688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801421 (or 801391 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 59.

The spelling of 2666962688000 in words is "two trillion, six hundred sixty-six billion, nine hundred sixty-two million, six hundred eighty-eight thousand".