2666806464 has 112 divisors (see below), whose sum is σ = 8077899008. Its totient is φ = 760624128.

The previous prime is 2666806433. The next prime is 2666806469. The reversal of 2666806464 is 4646086662.

It is a happy number.

2666806464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2666806464² = 14223713432864366592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2666806469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983799 + ... + 986505.

Almost surely, 2^2666806464 is an apocalyptic number.

2666806464 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 2666806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038949504).

2666806464 is an abundant number, since it is smaller than the sum of its proper divisors (5411092544).

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

2666806464 is a wasteful number, since it uses less digits than its factorization.

2666806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 2666806464 is about 51641.1315135523. The cubic root of 2666806464 is about 1386.7467807921.

The spelling of 2666806464 in words is "two billion, six hundred sixty-six million, eight hundred six thousand, four hundred sixty-four".