2033320400 has 30 divisors (see below), whose sum is σ = 4885053222. Its totient is φ = 813328000.

The previous prime is 2033320361. The next prime is 2033320409. The reversal of 2033320400 is 40233302.

It can be written as a sum of positive squares in 3 ways, for example, as 28430224 + 2004890176 = 5332^2 + 44776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033320409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2541251 + ... + 2542050.

Almost surely, 2^2033320400 is an apocalyptic number.

2033320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033320400 is an abundant number, since it is smaller than the sum of its proper divisors (2851732822).

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

2033320400 is a wasteful number, since it uses less digits than its factorization.

2033320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083319 (or 5083308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2033320400 is about 45092.3541190743. The cubic root of 2033320400 is about 1266.8793948657.

Adding to 2033320400 its reverse (40233302), we get a palindrome (2073553702).

The spelling of 2033320400 in words is "two billion, thirty-three million, three hundred twenty thousand, four hundred".