20733330240 has 560 divisors, whose sum is σ = 84825840000. Its totient is φ = 4708896768.

The previous prime is 20733330229. The next prime is 20733330257. The reversal of 20733330240 is 4203333702.

It is a happy number.

20733330240 is a `hidden beast` number, since 20 + 7 + 333 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41549511 + ... + 41550009.

Almost surely, 2^20733330240 is an apocalyptic number.

20733330240 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 20733330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42412920000).

20733330240 is an abundant number, since it is smaller than the sum of its proper divisors (64092509760).

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

20733330240 is a wasteful number, since it uses less digits than its factorization.

20733330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

Adding to 20733330240 its reverse (4203333702), we get a palindrome (24936663942).

The spelling of 20733330240 in words is "twenty billion, seven hundred thirty-three million, three hundred thirty thousand, two hundred forty".