2109312835200 has 960 divisors, whose sum is σ = 8296915671000. Its totient is φ = 525851688960.

The previous prime is 2109312835181. The next prime is 2109312835211. The reversal of 2109312835200 is 25382139012.

2109312835200 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 3 + 128 + 3 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9294502464 + 2100018332736 = 96408^2 + 1449144^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691803276 + ... + 691806324.

Almost surely, 2^{2109312835200} is an apocalyptic number.

2109312835200 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 2109312835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148457835500).

2109312835200 is an abundant number, since it is smaller than the sum of its proper divisors (6187602835800).

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

2109312835200 is a wasteful number, since it uses less digits than its factorization.

2109312835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2109312835200 in words is "two trillion, one hundred nine billion, three hundred twelve million, eight hundred thirty-five thousand, two hundred".