2014314032 has 80 divisors (see below), whose sum is σ = 4264965120. Its totient is φ = 918086400.

The previous prime is 2014314031. The next prime is 2014314047. The reversal of 2014314032 is 2304134102.

It is a super-2 number, since 2×2014314032² = 8114922039024194048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2014313995 and 2014314013.

It is not an unprimeable number, because it can be changed into a prime (2014314031) 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 15 ways as a sum of consecutive naturals, for example, 1987958 + ... + 1988970.

It is an arithmetic number, because the mean of its divisors is an integer number (53312064).

Almost surely, 2^2014314032 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 2014314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132482560).

2014314032 is an abundant number, since it is smaller than the sum of its proper divisors (2250651088).

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

2014314032 is a wasteful number, since it uses less digits than its factorization.

2014314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

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

The square root of 2014314032 is about 44881.1099684489. The cubic root of 2014314032 is about 1262.9196658887.

Adding to 2014314032 its reverse (2304134102), we get a palindrome (4318448134).

The spelling of 2014314032 in words is "two billion, fourteen million, three hundred fourteen thousand, thirty-two".