2042330320 has 40 divisors (see below), whose sum is σ = 4751649000. Its totient is φ = 816376320.

The previous prime is 2042330299. The next prime is 2042330327. The reversal of 2042330320 is 230332402.

It can be written as a sum of positive squares in 4 ways, for example, as 42094144 + 2000236176 = 6488^2 + 44724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2042330320² = 8342226271982604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042330327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121806 + ... + 137554.

It is an arithmetic number, because the mean of its divisors is an integer number (118791225).

Almost surely, 2^2042330320 is an apocalyptic number.

2042330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042330320 is an abundant number, since it is smaller than the sum of its proper divisors (2709318680).

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

2042330320 is a wasteful number, since it uses less digits than its factorization.

2042330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2042330320 is about 45192.1488756620. The cubic root of 2042330320 is about 1268.7478762047.

Adding to 2042330320 its reverse (230332402), we get a palindrome (2272662722).

The spelling of 2042330320 in words is "two billion, forty-two million, three hundred thirty thousand, three hundred twenty".