2666973568 has 192 divisors, whose sum is σ = 6442377120. Its totient is φ = 1095843840.

The previous prime is 2666973539. The next prime is 2666973577. The reversal of 2666973568 is 8653796662.

It is a happy number.

2666973568 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 2×2666973568² = 14225496024821301248, which 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 23 ways as a sum of consecutive naturals, for example, 23601480 + ... + 23601592.

Almost surely, 2^2666973568 is an apocalyptic number.

2666973568 is a gapful number since it is divisible by the number (28) 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 2666973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221188560).

2666973568 is an abundant number, since it is smaller than the sum of its proper divisors (3775403552).

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

2666973568 is a wasteful number, since it uses less digits than its factorization.

2666973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The square root of 2666973568 is about 51642.7494233218. The cubic root of 2666973568 is about 1386.7757450355.

The spelling of 2666973568 in words is "two billion, six hundred sixty-six million, nine hundred seventy-three thousand, five hundred sixty-eight".