2666264832 has 648 divisors, whose sum is σ = 10359891360. Its totient is φ = 650280960.

The previous prime is 2666264801. The next prime is 2666264849. The reversal of 2666264832 is 2384626662.

It is a super-3 number, since 3×2666264832³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 23595208 + ... + 23595320.

Almost surely, 2^2666264832 is an apocalyptic number.

2666264832 is a gapful number since it is divisible by the number (22) 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 2666264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179945680).

2666264832 is an abundant number, since it is smaller than the sum of its proper divisors (7693626528).

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

2666264832 is a wasteful number, since it uses less digits than its factorization.

2666264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2666264832 is about 51635.8870554191. The cubic root of 2666264832 is about 1386.6528910532.

The spelling of 2666264832 in words is "two billion, six hundred sixty-six million, two hundred sixty-four thousand, eight hundred thirty-two".