20624242200 has 96 divisors (see below), whose sum is σ = 64342674960. Its totient is φ = 5464742400.

The previous prime is 20624242181. The next prime is 20624242207. The reversal of 20624242200 is 224242602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20624242207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15271 + ... + 203670.

Almost surely, 2^20624242200 is an apocalyptic number.

20624242200 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 20624242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32171337480).

20624242200 is an abundant number, since it is smaller than the sum of its proper divisors (43718432760).

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

20624242200 is a wasteful number, since it uses less digits than its factorization.

20624242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219117 (or 219108 counting only the distinct ones).

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

Adding to 20624242200 its reverse (224242602), we get a palindrome (20848484802).

The spelling of 20624242200 in words is "twenty billion, six hundred twenty-four million, two hundred forty-two thousand, two hundred".