2109687871248 has 320 divisors, whose sum is σ = 6571186560000. Its totient is φ = 647750043648.

The previous prime is 2109687871223. The next prime is 2109687871271. The reversal of 2109687871248 is 8421787869012.

It is a super-3 number, since 3×2109687871248³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99742978 + ... + 99764126.

It is an arithmetic number, because the mean of its divisors is an integer number (20534958000).

Almost surely, 2^{2109687871248} 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 2109687871248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285593280000).

2109687871248 is an abundant number, since it is smaller than the sum of its proper divisors (4461498688752).

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

2109687871248 is a wasteful number, since it uses less digits than its factorization.

2109687871248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264 (or 21218 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 2109687871248 in words is "two trillion, one hundred nine billion, six hundred eighty-seven million, eight hundred seventy-one thousand, two hundred forty-eight".