2033304120 has 160 divisors (see below), whose sum is σ = 6917415120. Its totient is φ = 535610880.

The previous prime is 2033304109. The next prime is 2033304127. The reversal of 2033304120 is 214033302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2033304093 and 2033304102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033304127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265140 + ... + 272700.

Almost surely, 2^2033304120 is an apocalyptic number.

2033304120 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 2033304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458707560).

2033304120 is an abundant number, since it is smaller than the sum of its proper divisors (4884111000).

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

2033304120 is a wasteful number, since it uses less digits than its factorization.

2033304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2033304120 is about 45092.1736003045. The cubic root of 2033304120 is about 1266.8760137210.

Adding to 2033304120 its reverse (214033302), we get a palindrome (2247337422).

It can be divided in two parts, 2033 and 304120, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 2033304120 in words is "two billion, thirty-three million, three hundred four thousand, one hundred twenty".