2042014320 has 80 divisors (see below), whose sum is σ = 7033612320. Its totient is φ = 544536576.

The previous prime is 2042014301. The next prime is 2042014333. The reversal of 2042014320 is 234102402.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2042014293 and 2042014302.

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 15 ways as a sum of consecutive naturals, for example, 470529 + ... + 474848.

It is an arithmetic number, because the mean of its divisors is an integer number (87920154).

Almost surely, 2^2042014320 is an apocalyptic number.

2042014320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042014320 is an abundant number, since it is smaller than the sum of its proper divisors (4991598000).

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

2042014320 is a wasteful number, since it uses less digits than its factorization.

2042014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945399 (or 945387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042014320 is about 45188.6525579155. The cubic root of 2042014320 is about 1268.6824370665.

Adding to 2042014320 its reverse (234102402), we get a palindrome (2276116722).

The spelling of 2042014320 in words is "two billion, forty-two million, fourteen thousand, three hundred twenty".