2014140144 has 160 divisors (see below), whose sum is σ = 5842126080. Its totient is φ = 594210816.

The previous prime is 2014140143. The next prime is 2014140157. The reversal of 2014140144 is 4410414102.

It is a self number, because there is not a number n which added to its sum of digits gives 2014140144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014140143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526754 + ... + 2527550.

It is an arithmetic number, because the mean of its divisors is an integer number (36513288).

Almost surely, 2^2014140144 is an apocalyptic number.

2014140144 is a gapful number since it is divisible by the number (24) 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 2014140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921063040).

2014140144 is an abundant number, since it is smaller than the sum of its proper divisors (3827985936).

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

2014140144 is a wasteful number, since it uses less digits than its factorization.

2014140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2014140144 is about 44879.1727196480. The cubic root of 2014140144 is about 1262.8833238402.

Adding to 2014140144 its reverse (4410414102), we get a palindrome (6424554246).

The spelling of 2014140144 in words is "two billion, fourteen million, one hundred forty thousand, one hundred forty-four".