22759209240 has 192 divisors, whose sum is σ = 71072743680. Its totient is φ = 5829984000.

The previous prime is 22759209229. The next prime is 22759209241. The reversal of 22759209240 is 4290295722.

It is a junction number, because it is equal to n+sod(n) for n = 22759209192 and 22759209201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22759209241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17412667 + ... + 17413973.

It is an arithmetic number, because the mean of its divisors is an integer number (370170540).

Almost surely, 2^22759209240 is an apocalyptic number.

22759209240 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 22759209240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35536371840).

22759209240 is an abundant number, since it is smaller than the sum of its proper divisors (48313534440).

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

22759209240 is a wasteful number, since it uses less digits than its factorization.

22759209240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 22759209240 in words is "twenty-two billion, seven hundred fifty-nine million, two hundred nine thousand, two hundred forty".