2144342000 has 80 divisors (see below), whose sum is σ = 5258395584. Its totient is φ = 845600000.

The previous prime is 2144341987. The next prime is 2144342021. The reversal of 2144342000 is 2434412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2144342000² = 9196405225928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134450 + ... + 149550.

Almost surely, 2^2144342000 is an apocalyptic number.

2144342000 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 2144342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629197792).

2144342000 is an abundant number, since it is smaller than the sum of its proper divisors (3114053584).

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

2144342000 is a wasteful number, since it uses less digits than its factorization.

2144342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15195 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2144342000 is about 46307.0405014184. The cubic root of 2144342000 is about 1289.5297045742.

Adding to 2144342000 its reverse (2434412), we get a palindrome (2146776412).

The spelling of 2144342000 in words is "two billion, one hundred forty-four million, three hundred forty-two thousand".