2646317118120 has 128 divisors (see below), whose sum is σ = 8552052109440. Its totient is φ = 651217351680.

The previous prime is 2646317118113. The next prime is 2646317118157. The reversal of 2646317118120 is 218117136462.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5333242 + ... + 5808278.

It is an arithmetic number, because the mean of its divisors is an integer number (66812907105).

Almost surely, 2^{2646317118120} is an apocalyptic number.

2646317118120 is a gapful number since it is divisible by the number (20) 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 2646317118120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276026054720).

2646317118120 is an abundant number, since it is smaller than the sum of its proper divisors (5905734991320).

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

2646317118120 is a wasteful number, since it uses less digits than its factorization.

2646317118120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478635 (or 478631 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 2646317118120 in words is "two trillion, six hundred forty-six billion, three hundred seventeen million, one hundred eighteen thousand, one hundred twenty".