2006142432 has 384 divisors, whose sum is σ = 6688604160. Its totient is φ = 513976320.

The previous prime is 2006142431. The next prime is 2006142461. The reversal of 2006142432 is 2342416002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006142431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25394169 + ... + 25394247.

It is an arithmetic number, because the mean of its divisors is an integer number (17418240).

Almost surely, 2^2006142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344302080).

2006142432 is an abundant number, since it is smaller than the sum of its proper divisors (4682461728).

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

2006142432 is a wasteful number, since it uses less digits than its factorization.

2006142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2006142432 is about 44789.9813797684. The cubic root of 2006142432 is about 1261.2095615902.

Adding to 2006142432 its reverse (2342416002), we get a palindrome (4348558434).

The spelling of 2006142432 in words is "two billion, six million, one hundred forty-two thousand, four hundred thirty-two".