22740526080 has 264 divisors, whose sum is σ = 79234571832. Its totient is φ = 6030360576.

The previous prime is 22740526033. The next prime is 22740526087. The reversal of 22740526080 is 8062504722.

22740526080 is a `hidden beast` number, since 2 + 2 + 7 + 40 + 5 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 513294336 + 22227231744 = 22656^2 + 149088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22740526087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8892162 + ... + 8894718.

Almost surely, 2^22740526080 is an apocalyptic number.

22740526080 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 22740526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617285916).

22740526080 is an abundant number, since it is smaller than the sum of its proper divisors (56494045752).

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

22740526080 is a wasteful number, since it uses less digits than its factorization.

22740526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22740526080 in words is "twenty-two billion, seven hundred forty million, five hundred twenty-six thousand, eighty".