20302272000 has 640 divisors, whose sum is σ = 77623603200. Its totient is φ = 5225472000.

The previous prime is 20302271993. The next prime is 20302272007. The reversal of 20302272000 is 27220302.

It is an interprime number because it is at equal distance from previous prime (20302271993) and next prime (20302272007).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302272007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53567811 + ... + 53568189.

It is an arithmetic number, because the mean of its divisors is an integer number (121286880).

Almost surely, 2^20302272000 is an apocalyptic number.

20302272000 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 20302272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811801600).

20302272000 is an abundant number, since it is smaller than the sum of its proper divisors (57321331200).

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

20302272000 is an equidigital number, since it uses as much as digits as its factorization.

20302272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 20302272000 its reverse (27220302), we get a palindrome (20329492302).

The spelling of 20302272000 in words is "twenty billion, three hundred two million, two hundred seventy-two thousand".