2013235200 has 432 divisors, whose sum is σ = 7663923540. Its totient is φ = 503316480.

The previous prime is 2013235199. The next prime is 2013235249. The reversal of 2013235200 is 25323102.

It can be written as a sum of positive squares in 6 ways, for example, as 1633453056 + 379782144 = 40416^2 + 19488^2 .

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

It is a zygodrome in base 16.

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, 7833472 + ... + 7833728.

Almost surely, 2^2013235200 is an apocalyptic number.

2013235200 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 2013235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831961770).

2013235200 is an abundant number, since it is smaller than the sum of its proper divisors (5650688340).

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

2013235200 is a wasteful number, since it uses less digits than its factorization.

2013235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2013235200 is about 44869.0895829189. The cubic root of 2013235200 is about 1262.6941595973.

Adding to 2013235200 its reverse (25323102), we get a palindrome (2038558302).

The spelling of 2013235200 in words is "two billion, thirteen million, two hundred thirty-five thousand, two hundred".