2668972032 has 288 divisors, whose sum is σ = 8299549440. Its totient is φ = 855982080.

The previous prime is 2668971989. The next prime is 2668972037. The reversal of 2668972032 is 2302798662.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2668972037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427498 + ... + 15427670.

It is an arithmetic number, because the mean of its divisors is an integer number (28817880).

Almost surely, 2^2668972032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149774720).

2668972032 is an abundant number, since it is smaller than the sum of its proper divisors (5630577408).

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

2668972032 is an equidigital number, since it uses as much as digits as its factorization.

2668972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2668972032 is about 51662.0947310502. The cubic root of 2668972032 is about 1387.1220463612.

The spelling of 2668972032 in words is "two billion, six hundred sixty-eight million, nine hundred seventy-two thousand, thirty-two".