2666114304 has 288 divisors, whose sum is σ = 8584800000. Its totient is φ = 733372416.

The previous prime is 2666114293. The next prime is 2666114309. The reversal of 2666114304 is 4034116662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666114309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7639122 + ... + 7639470.

Almost surely, 2^2666114304 is an apocalyptic number.

2666114304 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 2666114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292400000).

2666114304 is an abundant number, since it is smaller than the sum of its proper divisors (5918685696).

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

2666114304 is an equidigital number, since it uses as much as digits as its factorization.

2666114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2666114304 is about 51634.4294439282. The cubic root of 2666114304 is about 1386.6267953690.

The spelling of 2666114304 in words is "two billion, six hundred sixty-six million, one hundred fourteen thousand, three hundred four".