2014305120 has 144 divisors (see below), whose sum is σ = 6902440272. Its totient is φ = 534912000.

The previous prime is 2014305101. The next prime is 2014305131. The reversal of 2014305120 is 215034102.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2014305093 and 2014305102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358654 + ... + 364226.

It is an arithmetic number, because the mean of its divisors is an integer number (47933613).

Almost surely, 2^2014305120 is an apocalyptic number.

2014305120 is a gapful number since it is divisible by the number (20) 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 2014305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451220136).

2014305120 is an abundant number, since it is smaller than the sum of its proper divisors (4888135152).

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

2014305120 is a wasteful number, since it uses less digits than its factorization.

2014305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2014305120 is about 44881.0106838070. The cubic root of 2014305120 is about 1262.9178033594.

2014305120 divided by its product of nonzero digits (240) gives a palindrome (8392938).

Adding to 2014305120 its reverse (215034102), we get a palindrome (2229339222).

The spelling of 2014305120 in words is "two billion, fourteen million, three hundred five thousand, one hundred twenty".