21882240 has 192 divisors, whose sum is σ = 78764400. Its totient is φ = 5591040.

The previous prime is 21882229. The next prime is 21882253. The reversal of 21882240 is 4228812.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166975 + ... + 167105.

Almost surely, 2^21882240 is an apocalyptic number.

21882240 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 21882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382200).

21882240 is an abundant number, since it is smaller than the sum of its proper divisors (56882160).

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

21882240 is a wasteful number, since it uses less digits than its factorization.

21882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21882240 is about 4677.8456579926. The cubic root of 21882240 is about 279.7030866234.

It can be divided in two parts, 21882 and 240, that added together give a palindrome (22122).

The spelling of 21882240 in words is "twenty-one million, eight hundred eighty-two thousand, two hundred forty".