2664081966 has 64 divisors (see below), whose sum is σ = 6577998336. Its totient is φ = 700444800.

The previous prime is 2664081961. The next prime is 2664081989. The reversal of 2664081966 is 6691804662.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664081961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173356 + ... + 188096.

It is an arithmetic number, because the mean of its divisors is an integer number (102781224).

Almost surely, 2^2664081966 is an apocalyptic number.

2664081966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664081966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288999168).

2664081966 is an abundant number, since it is smaller than the sum of its proper divisors (3913916370).

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

2664081966 is a wasteful number, since it uses less digits than its factorization.

2664081966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15097.

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2664081966 is about 51614.7456256446. The cubic root of 2664081966 is about 1386.2743710324.

The spelling of 2664081966 in words is "two billion, six hundred sixty-four million, eighty-one thousand, nine hundred sixty-six".