2022542642736 has 1440 divisors, whose sum is σ = 7777038237696. Its totient is φ = 502625088000.

The previous prime is 2022542642717. The next prime is 2022542642749. The reversal of 2022542642736 is 6372462452202.

2022542642736 is a `hidden beast` number, since 2 + 0 + 22 + 542 + 64 + 27 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2022542642691 and 2022542642700.

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 287 ways as a sum of consecutive naturals, for example, 10589228401 + ... + 10589228591.

Almost surely, 2^{2022542642736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022542642736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888519118848).

2022542642736 is an abundant number, since it is smaller than the sum of its proper divisors (5754495594960).

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

2022542642736 is a wasteful number, since it uses less digits than its factorization.

2022542642736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2022542642736 in words is "two trillion, twenty-two billion, five hundred forty-two million, six hundred forty-two thousand, seven hundred thirty-six".