2014130140 has 96 divisors (see below), whose sum is σ = 4787693568. Its totient is φ = 705120000.

The previous prime is 2014130137. The next prime is 2014130161. The reversal of 2014130140 is 410314102.

It is a congruent number.

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, 1547490 + ... + 1548790.

It is an arithmetic number, because the mean of its divisors is an integer number (49871808).

Almost surely, 2^2014130140 is an apocalyptic number.

2014130140 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 2014130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393846784).

2014130140 is an abundant number, since it is smaller than the sum of its proper divisors (2773563428).

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

2014130140 is a wasteful number, since it uses less digits than its factorization.

2014130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014130140 is about 44879.0612646922. The cubic root of 2014130140 is about 1262.8812329719.

Adding to 2014130140 its reverse (410314102), we get a palindrome (2424444242).

It can be divided in two parts, 2014 and 130140, that multiplied together give a triangular number (262101960 = T₂₂₈₉₅).

The spelling of 2014130140 in words is "two billion, fourteen million, one hundred thirty thousand, one hundred forty".