2033952768 has 288 divisors, whose sum is σ = 6284285280. Its totient is φ = 656916480.

The previous prime is 2033952737. The next prime is 2033952769. The reversal of 2033952768 is 8672593302.

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 (2033952769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30357471 + ... + 30357537.

It is an arithmetic number, because the mean of its divisors is an integer number (21820435).

Almost surely, 2^2033952768 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 2033952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142142640).

2033952768 is an abundant number, since it is smaller than the sum of its proper divisors (4250332512).

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

2033952768 is an frugal number, since it uses more digits than its factorization.

2033952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2033952768 is about 45099.3654944280. The cubic root of 2033952768 is about 1267.0107155292.

The spelling of 2033952768 in words is "two billion, thirty-three million, nine hundred fifty-two thousand, seven hundred sixty-eight".