2404325664000 has 1728 divisors, whose sum is σ = 9963148016640. Its totient is φ = 551809843200.

The previous prime is 2404325663969. The next prime is 2404325664029. The reversal of 2404325664000 is 4665234042.

2404325664000 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 3 + 2 + 5 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 5192927769 + ... + 5192928231.

Almost surely, 2^{2404325664000} is an apocalyptic number.

2404325664000 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 2404325664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981574008320).

2404325664000 is an abundant number, since it is smaller than the sum of its proper divisors (7558822352640).

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

2404325664000 is a wasteful number, since it uses less digits than its factorization.

2404325664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2404325664000 in words is "two trillion, four hundred four billion, three hundred twenty-five million, six hundred sixty-four thousand".