2108980144656 has 640 divisors, whose sum is σ = 8266870886400. Its totient is φ = 497782333440.

The previous prime is 2108980144651. The next prime is 2108980144681. The reversal of 2108980144656 is 6564410898012.

2108980144656 is a `hidden beast` number, since 2 + 10 + 89 + 80 + 14 + 465 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2108980144651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16334851 + ... + 16463453.

It is an arithmetic number, because the mean of its divisors is an integer number (12916985760).

Almost surely, 2^{2108980144656} 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 2108980144656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133435443200).

2108980144656 is an abundant number, since it is smaller than the sum of its proper divisors (6157890741744).

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

2108980144656 is a wasteful number, since it uses less digits than its factorization.

2108980144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128684 (or 128672 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2108980144656 in words is "two trillion, one hundred eight billion, nine hundred eighty million, one hundred forty-four thousand, six hundred fifty-six".