2014031140224 has 64 divisors (see below), whose sum is σ = 5429617602240. Its totient is φ = 661323649536.

The previous prime is 2014031140213. The next prime is 2014031140313. The reversal of 2014031140224 is 4220411304102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2014031140194 and 2014031140203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39115114 + ... + 39166569.

It is an arithmetic number, because the mean of its divisors is an integer number (84837775035).

Almost surely, 2^{2014031140224} is an apocalyptic number.

2014031140224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2014031140224 is an abundant number, since it is smaller than the sum of its proper divisors (3415586462016).

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

2014031140224 is an equidigital number, since it uses as much as digits as its factorization.

2014031140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78281767 (or 78281755 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2014031140224 its reverse (4220411304102), we get a palindrome (6234442444326).

The spelling of 2014031140224 in words is "two trillion, fourteen billion, thirty-one million, one hundred forty thousand, two hundred twenty-four".