2666340768 has 384 divisors, whose sum is σ = 9047711232. Its totient is φ = 668860416.

The previous prime is 2666340751. The next prime is 2666340779. The reversal of 2666340768 is 8670436662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23595880 + ... + 23595992.

It is an arithmetic number, because the mean of its divisors is an integer number (23561748).

Almost surely, 2^2666340768 is an apocalyptic number.

2666340768 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 2666340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523855616).

2666340768 is an abundant number, since it is smaller than the sum of its proper divisors (6381370464).

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

2666340768 is a wasteful number, since it uses less digits than its factorization.

2666340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 2666340768 is about 51636.6223527450. The cubic root of 2666340768 is about 1386.6660550211. Note that the first 3 decimals are identical.

The spelling of 2666340768 in words is "two billion, six hundred sixty-six million, three hundred forty thousand, seven hundred sixty-eight".