21133242240 has 256 divisors, whose sum is σ = 74318342400. Its totient is φ = 5065195520.

The previous prime is 21133242223. The next prime is 21133242301. The reversal of 21133242240 is 4224233112.

It is a happy number.

It is a super-2 number, since 2×21133242240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21133242240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874059 + ... + 1885301.

It is an arithmetic number, because the mean of its divisors is an integer number (290306025).

Almost surely, 2^21133242240 is an apocalyptic number.

21133242240 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 21133242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37159171200).

21133242240 is an abundant number, since it is smaller than the sum of its proper divisors (53185100160).

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

21133242240 is a wasteful number, since it uses less digits than its factorization.

21133242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21133242240 its reverse (4224233112), we get a palindrome (25357475352).

The spelling of 21133242240 in words is "twenty-one billion, one hundred thirty-three million, two hundred forty-two thousand, two hundred forty".