2130944227200 has 288 divisors, whose sum is σ = 7609079866440. Its totient is φ = 567849553920.

The previous prime is 2130944227063. The next prime is 2130944227231. The reversal of 2130944227200 is 27224490312.

It is a happy number.

2130944227200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 442 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41820939 + ... + 41871861.

Almost surely, 2^{2130944227200} is an apocalyptic number.

2130944227200 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 2130944227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804539933220).

2130944227200 is an abundant number, since it is smaller than the sum of its proper divisors (5478135639240).

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

2130944227200 is a wasteful number, since it uses less digits than its factorization.

2130944227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52406 (or 52386 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2130944227200 in words is "two trillion, one hundred thirty billion, nine hundred forty-four million, two hundred twenty-seven thousand, two hundred".