2000142144 has 336 divisors, whose sum is σ = 7699735680. Its totient is φ = 479416320.

The previous prime is 2000142139. The next prime is 2000142167. The reversal of 2000142144 is 4412410002.

2000142144 is a `hidden beast` number, since 200 + 0 + 1 + 421 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574842 + ... + 578310.

It is an arithmetic number, because the mean of its divisors is an integer number (22915880).

Almost surely, 2^2000142144 is an apocalyptic number.

2000142144 is a gapful number since it is divisible by the number (24) 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 2000142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849867840).

2000142144 is an abundant number, since it is smaller than the sum of its proper divisors (5699593536).

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

2000142144 is a wasteful number, since it uses less digits than its factorization.

2000142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3505 counting only the distinct ones).

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

The square root of 2000142144 is about 44722.9487399925. The cubic root of 2000142144 is about 1259.9508975574.

Adding to 2000142144 its reverse (4412410002), we get a palindrome (6412552146).

The spelling of 2000142144 in words is "two billion, one hundred forty-two thousand, one hundred forty-four".