2144797316200 has 768 divisors, whose sum is σ = 6592149504000. Its totient is φ = 642660480000.

The previous prime is 2144797316191. The next prime is 2144797316203. The reversal of 2144797316200 is 26137974412.

It is not an unprimeable number, because it can be changed into a prime (2144797316203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6479750035 + ... + 6479750365.

It is an arithmetic number, because the mean of its divisors is an integer number (8583528000).

Almost surely, 2^{2144797316200} is an apocalyptic number.

2144797316200 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 2144797316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296074752000).

2144797316200 is an abundant number, since it is smaller than the sum of its proper divisors (4447352187800).

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

2144797316200 is a wasteful number, since it uses less digits than its factorization.

2144797316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 2144797316200 in words is "two trillion, one hundred forty-four billion, seven hundred ninety-seven million, three hundred sixteen thousand, two hundred".