2004755258088 has 256 divisors, whose sum is σ = 6123693312000. Its totient is φ = 602645184000.

The previous prime is 2004755258063. The next prime is 2004755258101. The reversal of 2004755258088 is 8808525574002.

2004755258088 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 7 + 5 + 52 + 580 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290246331 + ... + 290253237.

It is an arithmetic number, because the mean of its divisors is an integer number (23920677000).

Almost surely, 2^{2004755258088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004755258088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061846656000).

2004755258088 is an abundant number, since it is smaller than the sum of its proper divisors (4118938053912).

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

2004755258088 is a wasteful number, since it uses less digits than its factorization.

2004755258088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 2004755258088 in words is "two trillion, four billion, seven hundred fifty-five million, two hundred fifty-eight thousand, eighty-eight".