2409785284128 has 24 divisors (see below), whose sum is σ = 6325686371088. Its totient is φ = 803261761344.

The previous prime is 2409785284099. The next prime is 2409785284169. The reversal of 2409785284128 is 8214825879042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12550964926 + ... + 12550965117.

It is an arithmetic number, because the mean of its divisors is an integer number (263570265462).

Almost surely, 2^{2409785284128} is an apocalyptic number.

It is an amenable number.

2409785284128 is an abundant number, since it is smaller than the sum of its proper divisors (3915901086960).

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

2409785284128 is a wasteful number, since it uses less digits than its factorization.

2409785284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25101930056 (or 25101930048 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 2409785284128 in words is "two trillion, four hundred nine billion, seven hundred eighty-five million, two hundred eighty-four thousand, one hundred twenty-eight".