2129837996000 has 1536 divisors, whose sum is σ = 6933051740160. Its totient is φ = 630423552000.

The previous prime is 2129837995979. The next prime is 2129837996101. The reversal of 2129837996000 is 6997389212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19905027947 + ... + 19905028053.

It is an arithmetic number, because the mean of its divisors is an integer number (4513705560).

Almost surely, 2^{2129837996000} is an apocalyptic number.

2129837996000 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 2129837996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466525870080).

2129837996000 is an abundant number, since it is smaller than the sum of its proper divisors (4803213744160).

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

2129837996000 is a wasteful number, since it uses less digits than its factorization.

2129837996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 2129837996000 in words is "two trillion, one hundred twenty-nine billion, eight hundred thirty-seven million, nine hundred ninety-six thousand".