2144142000 has 1440 divisors, whose sum is σ = 10836431424. Its totient is φ = 387072000.

The previous prime is 2144141959. The next prime is 2144142019. The reversal of 2144142000 is 2414412.

2144142000 is a `hidden beast` number, since 21 + 441 + 4 + 200 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126125992 + ... + 126126008.

Almost surely, 2^2144142000 is an apocalyptic number.

2144142000 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 2144142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418215712).

2144142000 is an abundant number, since it is smaller than the sum of its proper divisors (8692289424).

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

2144142000 is a wasteful number, since it uses less digits than its factorization.

2144142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

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

The square root of 2144142000 is about 46304.8809522279. The cubic root of 2144142000 is about 1289.4896124062.

Adding to 2144142000 its reverse (2414412), we get a palindrome (2146556412).

The spelling of 2144142000 in words is "two billion, one hundred forty-four million, one hundred forty-two thousand".