2004431513200 has 60 divisors (see below), whose sum is σ = 4876604340640. Its totient is φ = 791623572480.

The previous prime is 2004431513191. The next prime is 2004431513243. The reversal of 2004431513200 is 23151344002.

It is a super-2 number, since 2×2004431513200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31684089 + ... + 31747288.

Almost surely, 2^{2004431513200} is an apocalyptic number.

2004431513200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004431513200 is an abundant number, since it is smaller than the sum of its proper divisors (2872172827440).

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

2004431513200 is a wasteful number, since it uses less digits than its factorization.

2004431513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63431474 (or 63431463 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2004431513200 its reverse (23151344002), we get a palindrome (2027582857202).

The spelling of 2004431513200 in words is "two trillion, four billion, four hundred thirty-one million, five hundred thirteen thousand, two hundred".