2809609960104 has 128 divisors (see below), whose sum is σ = 7823383516800. Its totient is φ = 934269603840.

The previous prime is 2809609960063. The next prime is 2809609960111. The reversal of 2809609960104 is 4010699069082.

2809609960104 is a `hidden beast` number, since 28 + 0 + 9 + 6 + 0 + 9 + 9 + 601 + 0 + 4 = 666.

2809609960104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 202021519 + ... + 202035425.

It is an arithmetic number, because the mean of its divisors is an integer number (61120183725).

Almost surely, 2^{2809609960104} is an apocalyptic number.

2809609960104 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 2809609960104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911691758400).

2809609960104 is an abundant number, since it is smaller than the sum of its proper divisors (5013773556696).

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

2809609960104 is a wasteful number, since it uses less digits than its factorization.

2809609960104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2809609960104 in words is "two trillion, eight hundred nine billion, six hundred nine million, nine hundred sixty thousand, one hundred four".