2102908026880 has 288 divisors, whose sum is σ = 5258907345888. Its totient is φ = 806564659200.

The previous prime is 2102908026809. The next prime is 2102908026881. The reversal of 2102908026880 is 886208092012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102908026880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102908026881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639054719 + ... + 1639056001.

It is an arithmetic number, because the mean of its divisors is an integer number (18260094951).

Almost surely, 2^{2102908026880} is an apocalyptic number.

2102908026880 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 2102908026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629453672944).

2102908026880 is an abundant number, since it is smaller than the sum of its proper divisors (3155999319008).

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

2102908026880 is an frugal number, since it uses more digits than its factorization.

2102908026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 2102908026880 in words is "two trillion, one hundred two billion, nine hundred eight million, twenty-six thousand, eight hundred eighty".