2033432320 has 72 divisors (see below), whose sum is σ = 4894439760. Its totient is φ = 809410560.

The previous prime is 2033432311. The next prime is 2033432389. The reversal of 2033432320 is 232343302.

It is a junction number, because it is equal to n+sod(n) for n = 2033432291 and 2033432300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266316 + ... + 273844.

It is an arithmetic number, because the mean of its divisors is an integer number (67978330).

Almost surely, 2^2033432320 is an apocalyptic number.

2033432320 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 2033432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447219880).

2033432320 is an abundant number, since it is smaller than the sum of its proper divisors (2861007440).

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

2033432320 is an equidigital number, since it uses as much as digits as its factorization.

2033432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2033432320 is about 45093.5951106141. The cubic root of 2033432320 is about 1266.9026387088.

Adding to 2033432320 its reverse (232343302), we get a palindrome (2265775622).

The spelling of 2033432320 in words is "two billion, thirty-three million, four hundred thirty-two thousand, three hundred twenty".