2144279200 has 216 divisors, whose sum is σ = 6412089600. Its totient is φ = 696245760.

The previous prime is 2144279197. The next prime is 2144279231. The reversal of 2144279200 is 29724412.

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, 743361 + ... + 746239.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^2144279200 is an apocalyptic number.

2144279200 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 2144279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

2144279200 is an abundant number, since it is smaller than the sum of its proper divisors (4267810400).

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

2144279200 is a wasteful number, since it uses less digits than its factorization.

2144279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2144279200 is about 46306.3624138196. The cubic root of 2144279200 is about 1289.5171159020.

The spelling of 2144279200 in words is "two billion, one hundred forty-four million, two hundred seventy-nine thousand, two hundred".