2144145000 has 160 divisors (see below), whose sum is σ = 6738842880. Its totient is φ = 568320000.

The previous prime is 2144144971. The next prime is 2144145007. The reversal of 2144145000 is 5414412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2144145007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3344680 + ... + 3345320.

It is an arithmetic number, because the mean of its divisors is an integer number (42117768).

Almost surely, 2^2144145000 is an apocalyptic number.

2144145000 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 2144145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369421440).

2144145000 is an abundant number, since it is smaller than the sum of its proper divisors (4594697880).

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

2144145000 is a wasteful number, since it uses less digits than its factorization.

2144145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2144145000 is about 46304.9133462098. The cubic root of 2144145000 is about 1289.4902138071.

Adding to 2144145000 its reverse (5414412), we get a palindrome (2149559412).

The spelling of 2144145000 in words is "two billion, one hundred forty-four million, one hundred forty-five thousand".