2042232556320 has 576 divisors, whose sum is σ = 8011917059328. Its totient is φ = 468864000000.

The previous prime is 2042232556319. The next prime is 2042232556349. The reversal of 2042232556320 is 236552322402.

2042232556320 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 325 + 5 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36768570 + ... + 36824070.

It is an arithmetic number, because the mean of its divisors is an integer number (13909578228).

Almost surely, 2^{2042232556320} is an apocalyptic number.

2042232556320 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 2042232556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005958529664).

2042232556320 is an abundant number, since it is smaller than the sum of its proper divisors (5969684503008).

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

2042232556320 is a wasteful number, since it uses less digits than its factorization.

2042232556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55657 (or 55646 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2042232556320 its reverse (236552322402), we get a palindrome (2278784878722).

The spelling of 2042232556320 in words is "two trillion, forty-two billion, two hundred thirty-two million, five hundred fifty-six thousand, three hundred twenty".