20420260224 has 256 divisors, whose sum is σ = 67007700480. Its totient is φ = 5365481472.

The previous prime is 20420260163. The next prime is 20420260247. The reversal of 20420260224 is 42206202402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20420260194 and 20420260203.

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 31 ways as a sum of consecutive naturals, for example, 10936539 + ... + 10938405.

It is an arithmetic number, because the mean of its divisors is an integer number (261748830).

Almost surely, 2^20420260224 is an apocalyptic number.

20420260224 is a gapful number since it is divisible by the number (24) 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 20420260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503850240).

20420260224 is an abundant number, since it is smaller than the sum of its proper divisors (46587440256).

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

20420260224 is a wasteful number, since it uses less digits than its factorization.

20420260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20420260224 its reverse (42206202402), we get a palindrome (62626462626).

The spelling of 20420260224 in words is "twenty billion, four hundred twenty million, two hundred sixty thousand, two hundred twenty-four".