2666689000000 has 441 divisors, whose sum is σ = 7013408332693. Its totient is φ = 1005928000000.

The previous prime is 2666688999979. The next prime is 2666689000067. The reversal of 2666689000000 is 9866662.

It is a happy number.

The square root of 2666689000000 is 1633000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2336275566144 + 330413433856 = 1528488^2 + 574816^2 .

It is a super-2 number, since 2×2666689000000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 37558999965 + ... + 37559000035.

Almost surely, 2^{2666689000000} is an apocalyptic number.

2666689000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2666689000000 is the 1633000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666689000000

2666689000000 is an abundant number, since it is smaller than the sum of its proper divisors (4346719332693).

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

2666689000000 is an frugal number, since it uses more digits than its factorization.

2666689000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 2666689000000 in words is "two trillion, six hundred sixty-six billion, six hundred eighty-nine million", and thus it is an aban number.