2004341031000 has 1344 divisors, whose sum is σ = 8925500432160. Its totient is φ = 416404800000.

The previous prime is 2004341030957. The next prime is 2004341031019. The reversal of 2004341031000 is 1301434002.

2004341031000 is a `hidden beast` number, since 200 + 43 + 410 + 3 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×2004341031000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 392928450 + ... + 392933550.

Almost surely, 2^{2004341031000} is an apocalyptic number.

2004341031000 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 2004341031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462750216080).

2004341031000 is an abundant number, since it is smaller than the sum of its proper divisors (6921159401160).

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

2004341031000 is a wasteful number, since it uses less digits than its factorization.

2004341031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2004341031000 its reverse (1301434002), we get a palindrome (2005642465002).

The spelling of 2004341031000 in words is "two trillion, four billion, three hundred forty-one million, thirty-one thousand".