2041304328000 has 1680 divisors, whose sum is σ = 8957792370384. Its totient is φ = 457402982400.

The previous prime is 2041304327987. The next prime is 2041304328017. The reversal of 2041304328000 is 8234031402.

2041304328000 is a `hidden beast` number, since 20 + 4 + 130 + 432 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1014032888064 + 1027271439936 = 1006992^2 + 1013544^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 1682855394 + ... + 1682856606.

Almost surely, 2^{2041304328000} is an apocalyptic number.

2041304328000 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 2041304328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478896185192).

2041304328000 is an abundant number, since it is smaller than the sum of its proper divisors (6916488042384).

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

2041304328000 is a wasteful number, since it uses less digits than its factorization.

2041304328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2041304328000 its reverse (8234031402), we get a palindrome (2049538359402).

The spelling of 2041304328000 in words is "two trillion, forty-one billion, three hundred four million, three hundred twenty-eight thousand".