2126693329200 has 1680 divisors, whose sum is σ = 9064332452736. Its totient is φ = 473427763200.

The previous prime is 2126693329181. The next prime is 2126693329231. The reversal of 2126693329200 is 29233966212.

2126693329200 is a `hidden beast` number, since 212 + 6 + 6 + 93 + 329 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2344755147 + ... + 2344756053.

Almost surely, 2^{2126693329200} is an apocalyptic number.

2126693329200 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 2126693329200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532166226368).

2126693329200 is an abundant number, since it is smaller than the sum of its proper divisors (6937639123536).

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

2126693329200 is a wasteful number, since it uses less digits than its factorization.

2126693329200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2126693329200 in words is "two trillion, one hundred twenty-six billion, six hundred ninety-three million, three hundred twenty-nine thousand, two hundred".