2033200000000 has 792 divisors, whose sum is σ = 6045043779936. Its totient is φ = 675840000000.

The previous prime is 2033199999967. The next prime is 2033200000031. The reversal of 2033200000000 is 23302.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 88399999989 + ... + 88400000011.

Almost surely, 2^{2033200000000} is an apocalyptic number.

2033200000000 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 2033200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022521889968).

2033200000000 is an abundant number, since it is smaller than the sum of its proper divisors (4011843779936).

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

2033200000000 is an frugal number, since it uses more digits than its factorization.

2033200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 2033200000000 its reverse (23302), we get a palindrome (2033200023302).

The spelling of 2033200000000 in words is "two trillion, thirty-three billion, two hundred million", and thus it is an aban number.