22740135240048 has 80 divisors (see below), whose sum is σ = 61305126220800. Its totient is φ = 7249811844352.

The previous prime is 22740135240041. The next prime is 22740135240107. The reversal of 22740135240048 is 84004253104722.

It is a happy number.

It is a super-2 number, since 2×22740135240048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22740135239991 and 22740135240009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22740135240041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11147065 + ... + 13028327.

It is an arithmetic number, because the mean of its divisors is an integer number (766314077760).

Almost surely, 2^{22740135240048} is an apocalyptic number.

It is an amenable number.

22740135240048 is an abundant number, since it is smaller than the sum of its proper divisors (38564990980752).

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

22740135240048 is a wasteful number, since it uses less digits than its factorization.

22740135240048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892246 (or 1892240 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 22740135240048 in words is "twenty-two trillion, seven hundred forty billion, one hundred thirty-five million, two hundred forty thousand, forty-eight".