2104009229088 has 288 divisors, whose sum is σ = 6648617505600. Its totient is φ = 647040835584.

The previous prime is 2104009229081. The next prime is 2104009229099. The reversal of 2104009229088 is 8809229004012.

It is a happy number.

2104009229088 is a `hidden beast` number, since 2 + 10 + 400 + 9 + 229 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2104009229081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462722431 + ... + 462726977.

It is an arithmetic number, because the mean of its divisors is an integer number (23085477450).

Almost surely, 2^{2104009229088} 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 2104009229088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324308752800).

2104009229088 is an abundant number, since it is smaller than the sum of its proper divisors (4544608276512).

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

2104009229088 is a wasteful number, since it uses less digits than its factorization.

2104009229088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2104009229088 in words is "two trillion, one hundred four billion, nine million, two hundred twenty-nine thousand, eighty-eight".