2014114320 has 60 divisors (see below), whose sum is σ = 6764069676. Its totient is φ = 537096960.

The previous prime is 2014114313. The next prime is 2014114339. The reversal of 2014114320 is 234114102.

It can be written as a sum of positive squares in 2 ways, for example, as 1000583424 + 1013530896 = 31632^2 + 31836^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2014114293 and 2014114302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397971 + ... + 1399410.

Almost surely, 2^2014114320 is an apocalyptic number.

2014114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014114320 is an abundant number, since it is smaller than the sum of its proper divisors (4749955356).

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

2014114320 is a wasteful number, since it uses less digits than its factorization.

2014114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797400 (or 2797391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2014114320 is about 44878.8850128877. The cubic root of 2014114320 is about 1262.8779265266.

Adding to 2014114320 its reverse (234114102), we get a palindrome (2248228422).

The spelling of 2014114320 in words is "two billion, fourteen million, one hundred fourteen thousand, three hundred twenty".