22751850240 has 1440 divisors, whose sum is σ = 102570209280. Its totient is φ = 4700602368.

The previous prime is 22751850221. The next prime is 22751850241. The reversal of 22751850240 is 4205815722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 22751850195 and 22751850204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22751850241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484081897 + ... + 484081943.

It is an arithmetic number, because the mean of its divisors is an integer number (71229312).

Almost surely, 2^22751850240 is an apocalyptic number.

22751850240 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 22751850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51285104640).

22751850240 is an abundant number, since it is smaller than the sum of its proper divisors (79818359040).

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

22751850240 is a wasteful number, since it uses less digits than its factorization.

22751850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 22751850240 in words is "twenty-two billion, seven hundred fifty-one million, eight hundred fifty thousand, two hundred forty".