2013240004200 has 384 divisors, whose sum is σ = 7350247411200. Its totient is φ = 504744099840.

The previous prime is 2013240004189. The next prime is 2013240004253. The reversal of 2013240004200 is 24000423102.

2013240004200 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 240 + 0 + 0 + 420 + 0 = 666.

It is a super-2 number, since 2×2013240004200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89677377 + ... + 89699823.

It is an arithmetic number, because the mean of its divisors is an integer number (19141269300).

Almost surely, 2^{2013240004200} is an apocalyptic number.

2013240004200 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 2013240004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675123705600).

2013240004200 is an abundant number, since it is smaller than the sum of its proper divisors (5337007407000).

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

2013240004200 is a wasteful number, since it uses less digits than its factorization.

2013240004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23466 (or 23451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2013240004200 its reverse (24000423102), we get a palindrome (2037240427302).

The spelling of 2013240004200 in words is "two trillion, thirteen billion, two hundred forty million, four thousand, two hundred".