2014429632 has 112 divisors (see below), whose sum is σ = 5406615552. Its totient is φ = 661893120.

The previous prime is 2014429601. The next prime is 2014429633. The reversal of 2014429632 is 2369244102.

It is a junction number, because it is equal to n+sod(n) for n = 2014429593 and 2014429602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014429633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5977368 + ... + 5977704.

Almost surely, 2^2014429632 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 2014429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703307776).

2014429632 is an abundant number, since it is smaller than the sum of its proper divisors (3392185920).

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

2014429632 is a wasteful number, since it uses less digits than its factorization.

2014429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2014429632 is about 44882.3977969092. The cubic root of 2014429632 is about 1262.9438247700.

The spelling of 2014429632 in words is "two billion, fourteen million, four hundred twenty-nine thousand, six hundred thirty-two".