2144041200 has 180 divisors, whose sum is σ = 8503435408. Its totient is φ = 490060800.

The previous prime is 2144041199. The next prime is 2144041213. The reversal of 2144041200 is 21404412.

2144041200 is a `hidden beast` number, since 21 + 440 + 4 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 17341 + ... + 67740.

Almost surely, 2^2144041200 is an apocalyptic number.

2144041200 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 2144041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251717704).

2144041200 is an abundant number, since it is smaller than the sum of its proper divisors (6359394208).

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

2144041200 is a wasteful number, since it uses less digits than its factorization.

2144041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85112 (or 85098 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2144041200 is about 46303.7925012628. The cubic root of 2144041200 is about 1289.4694050086.

Adding to 2144041200 its reverse (21404412), we get a palindrome (2165445612).

The spelling of 2144041200 in words is "two billion, one hundred forty-four million, forty-one thousand, two hundred".