2144031034200 has 384 divisors, whose sum is σ = 7785395274240. Its totient is φ = 482298880000.

The previous prime is 2144031034193. The next prime is 2144031034259. The reversal of 2144031034200 is 24301304412.

It is a super-2 number, since 2×2144031034200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7831630 + ... + 8100770.

It is an arithmetic number, because the mean of its divisors is an integer number (20274466860).

Almost surely, 2^{2144031034200} is an apocalyptic number.

2144031034200 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 2144031034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892697637120).

2144031034200 is an abundant number, since it is smaller than the sum of its proper divisors (5641364240040).

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

2144031034200 is a wasteful number, since it uses less digits than its factorization.

2144031034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269259 (or 269250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2144031034200 its reverse (24301304412), we get a palindrome (2168332338612).

The spelling of 2144031034200 in words is "two trillion, one hundred forty-four billion, thirty-one million, thirty-four thousand, two hundred".