2666806968 has 192 divisors, whose sum is σ = 8034647040. Its totient is φ = 734904576.

The previous prime is 2666806939. The next prime is 2666806973. The reversal of 2666806968 is 8696086662.

It is a super-2 number, since 2×2666806968² = 14223718809146706048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7266321 + ... + 7266687.

It is an arithmetic number, because the mean of its divisors is an integer number (41847120).

Almost surely, 2^2666806968 is an apocalyptic number.

2666806968 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 2666806968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017323520).

2666806968 is an abundant number, since it is smaller than the sum of its proper divisors (5367840072).

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

2666806968 is a wasteful number, since it uses less digits than its factorization.

2666806968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The square root of 2666806968 is about 51641.1363933831. The cubic root of 2666806968 is about 1386.7468681526.

The spelling of 2666806968 in words is "two billion, six hundred sixty-six million, eight hundred six thousand, nine hundred sixty-eight".