2033144064 has 648 divisors, whose sum is σ = 7633604160. Its totient is φ = 536481792.

The previous prime is 2033144051. The next prime is 2033144119. The reversal of 2033144064 is 4604413302.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 70108402 + ... + 70108430.

Almost surely, 2^2033144064 is an apocalyptic number.

2033144064 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 2033144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816802080).

2033144064 is an abundant number, since it is smaller than the sum of its proper divisors (5600460096).

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

2033144064 is an equidigital number, since it uses as much as digits as its factorization.

2033144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2033144064 is about 45090.3988006316. The cubic root of 2033144064 is about 1266.8427712061.

Adding to 2033144064 its reverse (4604413302), we get a palindrome (6637557366).

The spelling of 2033144064 in words is "two billion, thirty-three million, one hundred forty-four thousand, sixty-four".