2014134140 has 48 divisors (see below), whose sum is σ = 4462943520. Its totient is φ = 761425920.

The previous prime is 2014134137. The next prime is 2014134181. The reversal of 2014134140 is 414314102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158420 + ... + 170660.

It is an arithmetic number, because the mean of its divisors is an integer number (92977990).

Almost surely, 2^2014134140 is an apocalyptic number.

2014134140 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 2014134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231471760).

2014134140 is an abundant number, since it is smaller than the sum of its proper divisors (2448809380).

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

2014134140 is a wasteful number, since it uses less digits than its factorization.

2014134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2014134140 is about 44879.1058288821. The cubic root of 2014134140 is about 1262.8820689856.

Adding to 2014134140 its reverse (414314102), we get a palindrome (2428448242).

The spelling of 2014134140 in words is "two billion, fourteen million, one hundred thirty-four thousand, one hundred forty".