2001431432 has 128 divisors (see below), whose sum is σ = 5061692160. Its totient is φ = 716497920.

The previous prime is 2001431407. The next prime is 2001431461. The reversal of 2001431432 is 2341341002.

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 31 ways as a sum of consecutive naturals, for example, 2345918 + ... + 2346770.

It is an arithmetic number, because the mean of its divisors is an integer number (39544470).

Almost surely, 2^2001431432 is an apocalyptic number.

2001431432 is a gapful number since it is divisible by the number (22) 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 2001431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530846080).

2001431432 is an abundant number, since it is smaller than the sum of its proper divisors (3060260728).

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

2001431432 is a wasteful number, since it uses less digits than its factorization.

2001431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2001431432 is about 44737.3605837448. The cubic root of 2001431432 is about 1260.2215600977.

Adding to 2001431432 its reverse (2341341002), we get a palindrome (4342772434).

It can be divided in two parts, 200 and 1431432, that multiplied together give a square (286286400 = 16920²).

The spelling of 2001431432 in words is "two billion, one million, four hundred thirty-one thousand, four hundred thirty-two".