2013400200 has 144 divisors (see below), whose sum is σ = 7260673680. Its totient is φ = 460199040.

The previous prime is 2013400159. The next prime is 2013400231. The reversal of 2013400200 is 20043102.

2013400200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4842 + ... + 63641.

It is an arithmetic number, because the mean of its divisors is an integer number (50421345).

Almost surely, 2^2013400200 is an apocalyptic number.

2013400200 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 2013400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630336840).

2013400200 is an abundant number, since it is smaller than the sum of its proper divisors (5247273480).

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

2013400200 is a wasteful number, since it uses less digits than its factorization.

2013400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68516 (or 68500 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013400200 is about 44870.9282275283. The cubic root of 2013400200 is about 1262.7286544648.

Adding to 2013400200 its reverse (20043102), we get a palindrome (2033443302).

The spelling of 2013400200 in words is "two billion, thirteen million, four hundred thousand, two hundred".