21342020220 has 144 divisors (see below), whose sum is σ = 65592072000. Its totient is φ = 5616331776.

The previous prime is 21342020213. The next prime is 21342020233. The reversal of 21342020220 is 2202024312.

21342020220 is a `hidden beast` number, since 2 + 1 + 3 + 420 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21342020193 and 21342020202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11357241 + ... + 11359119.

It is an arithmetic number, because the mean of its divisors is an integer number (455500500).

Almost surely, 2^21342020220 is an apocalyptic number.

21342020220 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 21342020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32796036000).

21342020220 is an abundant number, since it is smaller than the sum of its proper divisors (44250051780).

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

21342020220 is a wasteful number, since it uses less digits than its factorization.

21342020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21342020220 its reverse (2202024312), we get a palindrome (23544044532).

The spelling of 21342020220 in words is "twenty-one billion, three hundred forty-two million, twenty thousand, two hundred twenty".