2013451200 has 252 divisors, whose sum is σ = 7351638840. Its totient is φ = 522270720.

The previous prime is 2013451199. The next prime is 2013451201. The reversal of 2013451200 is 21543102.

2013451200 is a `hidden beast` number, since 2 + 0 + 13 + 451 + 200 = 666.

2013451200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2013451199) and next prime (2013451201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013451201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 530911 + ... + 534689.

It is an arithmetic number, because the mean of its divisors is an integer number (29173170).

Almost surely, 2^2013451200 is an apocalyptic number.

2013451200 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 2013451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675819420).

2013451200 is an abundant number, since it is smaller than the sum of its proper divisors (5338187640).

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

2013451200 is a wasteful number, since it uses less digits than its factorization.

2013451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2013451200 is about 44871.4965206199. The cubic root of 2013451200 is about 1262.7393161335.

Adding to 2013451200 its reverse (21543102), we get a palindrome (2034994302).

The spelling of 2013451200 in words is "two billion, thirteen million, four hundred fifty-one thousand, two hundred".