2000004338800 has 180 divisors, whose sum is σ = 5208822886320. Its totient is φ = 737645076480.

The previous prime is 2000004338747. The next prime is 2000004338851. The reversal of 2000004338800 is 88334000002.

It is a congruent number.

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, 62784477 + ... + 62816323.

It is an arithmetic number, because the mean of its divisors is an integer number (28937904924).

Almost surely, 2^{2000004338800} is an apocalyptic number.

2000004338800 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 2000004338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604411443160).

2000004338800 is an abundant number, since it is smaller than the sum of its proper divisors (3208818547520).

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

2000004338800 is a wasteful number, since it uses less digits than its factorization.

2000004338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32820 (or 32796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2000004338800 its reverse (88334000002), we get a palindrome (2088338338802).

The spelling of 2000004338800 in words is "two trillion, four million, three hundred thirty-eight thousand, eight hundred".