22389719040 has 480 divisors, whose sum is σ = 84733248600. Its totient is φ = 5435817984.

The previous prime is 22389719029. The next prime is 22389719041. The reversal of 22389719040 is 4091798322.

It can be written as a sum of positive squares in 4 ways, for example, as 14724366336 + 7665352704 = 121344^2 + 87552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22389719041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306708444 + ... + 306708516.

Almost surely, 2^22389719040 is an apocalyptic number.

22389719040 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 22389719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366624300).

22389719040 is an abundant number, since it is smaller than the sum of its proper divisors (62343529560).

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

22389719040 is an frugal number, since it uses more digits than its factorization.

22389719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 22389719040 in words is "twenty-two billion, three hundred eighty-nine million, seven hundred nineteen thousand, forty".