2004341534300 has 144 divisors (see below), whose sum is σ = 5459882211840. Its totient is φ = 622728311040.

The previous prime is 2004341534291. The next prime is 2004341534311. The reversal of 2004341534300 is 34351434002.

It is a super-2 number, since 2×2004341534300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970239 + ... + 3582038.

Almost surely, 2^{2004341534300} is an apocalyptic number.

2004341534300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004341534300 is an abundant number, since it is smaller than the sum of its proper divisors (3455540677540).

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

2004341534300 is a wasteful number, since it uses less digits than its factorization.

2004341534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552340 (or 6552333 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 2004341534300 its reverse (34351434002), we get a palindrome (2038692968302).

The spelling of 2004341534300 in words is "two trillion, four billion, three hundred forty-one million, five hundred thirty-four thousand, three hundred".