2666290704 has 240 divisors, whose sum is σ = 8796776256. Its totient is φ = 688128000.

The previous prime is 2666290703. The next prime is 2666290717. The reversal of 2666290704 is 4070926662.

It is a happy number.

2666290704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666290704² = 14218212236473631232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2666290703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6648904 + ... + 6649304.

Almost surely, 2^2666290704 is an apocalyptic number.

2666290704 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 2666290704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398388128).

2666290704 is an abundant number, since it is smaller than the sum of its proper divisors (6130485552).

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

2666290704 is a wasteful number, since it uses less digits than its factorization.

2666290704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2666290704 is about 51636.1375782504. The cubic root of 2666290704 is about 1386.6573761500.

The spelling of 2666290704 in words is "two billion, six hundred sixty-six million, two hundred ninety thousand, seven hundred four".