2144012000 has 96 divisors (see below), whose sum is σ = 5673193344. Its totient is φ = 791616000.

The previous prime is 2144011979. The next prime is 2144012029. The reversal of 2144012000 is 2104412.

It is a super-2 number, since 2×2144012000² = 9193574912288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31385 + ... + 72615.

It is an arithmetic number, because the mean of its divisors is an integer number (59095764).

Almost surely, 2^2144012000 is an apocalyptic number.

2144012000 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 2144012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836596672).

2144012000 is an abundant number, since it is smaller than the sum of its proper divisors (3529181344).

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

2144012000 is a wasteful number, since it uses less digits than its factorization.

2144012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41269 (or 41251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2144012000 is about 46303.4771912434. The cubic root of 2144012000 is about 1289.4635511600.

Adding to 2144012000 its reverse (2104412), we get a palindrome (2146116412).

The spelling of 2144012000 in words is "two billion, one hundred forty-four million, twelve thousand".