2144141200 has 30 divisors (see below), whose sum is σ = 5151300194. Its totient is φ = 857656320.

The previous prime is 2144141147. The next prime is 2144141239. The reversal of 2144141200 is 21414412.

It can be written as a sum of positive squares in 3 ways, for example, as 613453824 + 1530687376 = 24768^2 + 39124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2679777 + ... + 2680576.

Almost surely, 2^2144141200 is an apocalyptic number.

2144141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144141200 is an abundant number, since it is smaller than the sum of its proper divisors (3007158994).

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

2144141200 is a wasteful number, since it uses less digits than its factorization.

2144141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360371 (or 5360360 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2144141200 is about 46304.8723138289. The cubic root of 2144141200 is about 1289.4894520325.

Adding to 2144141200 its reverse (21414412), we get a palindrome (2165555612).

It can be divided in two parts, 214 and 4141200, that added together give a palindrome (4141414).

The spelling of 2144141200 in words is "two billion, one hundred forty-four million, one hundred forty-one thousand, two hundred".