2109969700800 has 336 divisors, whose sum is σ = 7459595159520. Its totient is φ = 519053967360.

The previous prime is 2109969700721. The next prime is 2109969700807. The reversal of 2109969700800 is 80079699012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109969700807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109377556 + ... + 109396844.

It is an arithmetic number, because the mean of its divisors is an integer number (22201176070).

Almost surely, 2^{2109969700800} is an apocalyptic number.

2109969700800 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 2109969700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729797579760).

2109969700800 is an abundant number, since it is smaller than the sum of its proper divisors (5349625458720).

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

2109969700800 is a wasteful number, since it uses less digits than its factorization.

2109969700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21080 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 2109969700800 in words is "two trillion, one hundred nine billion, nine hundred sixty-nine million, seven hundred thousand, eight hundred".