2033364000 has 192 divisors, whose sum is σ = 6892179840. Its totient is φ = 523443200.

The previous prime is 2033363993. The next prime is 2033364031. The reversal of 2033364000 is 4633302.

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 31 ways as a sum of consecutive naturals, for example, 345079 + ... + 350921.

It is an arithmetic number, because the mean of its divisors is an integer number (35896770).

Almost surely, 2^2033364000 is an apocalyptic number.

2033364000 is a gapful number since it is divisible by the number (20) 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 2033364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446089920).

2033364000 is an abundant number, since it is smaller than the sum of its proper divisors (4858815840).

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

2033364000 is a wasteful number, since it uses less digits than its factorization.

2033364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2033364000 is about 45092.8375687315. The cubic root of 2033364000 is about 1266.8884499310. Note that the first 3 decimals are identical.

Adding to 2033364000 its reverse (4633302), we get a palindrome (2037997302).

The spelling of 2033364000 in words is "two billion, thirty-three million, three hundred sixty-four thousand".