2144084800 has 168 divisors, whose sum is σ = 6198790752. Its totient is φ = 719616000.

The previous prime is 2144084731. The next prime is 2144084809. The reversal of 2144084800 is 84804412.

2144084800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144084809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224115 + ... + 233485.

It is an arithmetic number, because the mean of its divisors is an integer number (36897564).

Almost surely, 2^2144084800 is an apocalyptic number.

2144084800 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 2144084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099395376).

2144084800 is an abundant number, since it is smaller than the sum of its proper divisors (4054705952).

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

2144084800 is a wasteful number, since it uses less digits than its factorization.

2144084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 2144084800 is about 46304.2633026377. The cubic root of 2144084800 is about 1289.4781455876.

The spelling of 2144084800 in words is "two billion, one hundred forty-four million, eighty-four thousand, eight hundred".