2004195775344 has 240 divisors, whose sum is σ = 6436001283840. Its totient is φ = 524987827200.

The previous prime is 2004195775343. The next prime is 2004195775357. The reversal of 2004195775344 is 4435775914002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004195775343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5971684 + ... + 6298364.

It is an arithmetic number, because the mean of its divisors is an integer number (26816672016).

Almost surely, 2^{2004195775344} is an apocalyptic number.

2004195775344 is a gapful number since it is divisible by the number (24) 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 2004195775344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218000641920).

2004195775344 is an abundant number, since it is smaller than the sum of its proper divisors (4431805508496).

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

2004195775344 is a wasteful number, since it uses less digits than its factorization.

2004195775344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326780 (or 326743 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 2004195775344 in words is "two trillion, four billion, one hundred ninety-five million, seven hundred seventy-five thousand, three hundred forty-four".