2666248704 has 320 divisors, whose sum is σ = 9192268800. Its totient is φ = 747270144.

The previous prime is 2666248699. The next prime is 2666248769. The reversal of 2666248704 is 4078426662.

2666248704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2666248704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5709079 + ... + 5709545.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^2666248704 is an apocalyptic number.

2666248704 is a gapful number since it is divisible by the number (24) 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 2666248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2666248704 is an abundant number, since it is smaller than the sum of its proper divisors (6526020096).

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

2666248704 is an equidigital number, since it uses as much as digits as its factorization.

2666248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2666248704 is about 51635.7308847275. The cubic root of 2666248704 is about 1386.6500951340.

The spelling of 2666248704 in words is "two billion, six hundred sixty-six million, two hundred forty-eight thousand, seven hundred four".