2013241200 has 120 divisors (see below), whose sum is σ = 6459811248. Its totient is φ = 535971840.

The previous prime is 2013241183. The next prime is 2013241207. The reversal of 2013241200 is 21423102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013241200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013241207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051444 + ... + 1053356.

Almost surely, 2^2013241200 is an apocalyptic number.

2013241200 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 2013241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229905624).

2013241200 is an abundant number, since it is smaller than the sum of its proper divisors (4446570048).

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

2013241200 is a wasteful number, since it uses less digits than its factorization.

2013241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2013241200 is about 44869.1564440429. The cubic root of 2013241200 is about 1262.6954139891.

Adding to 2013241200 its reverse (21423102), we get a palindrome (2034664302).

The spelling of 2013241200 in words is "two billion, thirteen million, two hundred forty-one thousand, two hundred".