20361282240 has 336 divisors, whose sum is σ = 71733253536. Its totient is φ = 4888166400.

The previous prime is 20361282223. The next prime is 20361282247. The reversal of 20361282240 is 4228216302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20361282198 and 20361282207.

It is not an unprimeable number, because it can be changed into a prime (20361282247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6650310 + ... + 6653370.

It is an arithmetic number, because the mean of its divisors is an integer number (213491826).

Almost surely, 2^20361282240 is an apocalyptic number.

20361282240 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 20361282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35866626768).

20361282240 is an abundant number, since it is smaller than the sum of its proper divisors (51371971296).

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

20361282240 is a wasteful number, since it uses less digits than its factorization.

20361282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 20361282240 its reverse (4228216302), we get a palindrome (24589498542).

The spelling of 20361282240 in words is "twenty billion, three hundred sixty-one million, two hundred eighty-two thousand, two hundred forty".