2033553312 has 216 divisors, whose sum is σ = 6960435300. Its totient is φ = 560867328.

The previous prime is 2033553293. The next prime is 2033553329. The reversal of 2033553312 is 2133553302.

2033553312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1989516816 + 44036496 = 44604^2 + 6636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406764 + ... + 411732.

Almost surely, 2^2033553312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480217650).

2033553312 is an abundant number, since it is smaller than the sum of its proper divisors (4926881988).

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

2033553312 is a wasteful number, since it uses less digits than its factorization.

2033553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 2033553312 is about 45094.9366559041. The cubic root of 2033553312 is about 1266.9277656894.

The spelling of 2033553312 in words is "two billion, thirty-three million, five hundred fifty-three thousand, three hundred twelve".