2033213424 has 80 divisors (see below), whose sum is σ = 5742192000. Its totient is φ = 614810880.

The previous prime is 2033213417. The next prime is 2033213437. The reversal of 2033213424 is 4243123302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2033213394 and 2033213403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 259614 + ... + 267330.

It is an arithmetic number, because the mean of its divisors is an integer number (71777400).

Almost surely, 2^2033213424 is an apocalyptic number.

2033213424 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 2033213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871096000).

2033213424 is an abundant number, since it is smaller than the sum of its proper divisors (3708978576).

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

2033213424 is a wasteful number, since it uses less digits than its factorization.

2033213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2033213424 is about 45091.1679156795. The cubic root of 2033213424 is about 1266.8571770085.

Adding to 2033213424 its reverse (4243123302), we get a palindrome (6276336726).

The spelling of 2033213424 in words is "two billion, thirty-three million, two hundred thirteen thousand, four hundred twenty-four".