20160282240 has 256 divisors, whose sum is σ = 81601632000. Its totient is φ = 4608036864.

The previous prime is 20160282223. The next prime is 20160282257. The reversal of 20160282240 is 4228206102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20160282223) and next prime (20160282257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37626 + ... + 204294.

It is an arithmetic number, because the mean of its divisors is an integer number (318756375).

Almost surely, 2^20160282240 is an apocalyptic number.

20160282240 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 20160282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800816000).

20160282240 is an abundant number, since it is smaller than the sum of its proper divisors (61441349760).

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

20160282240 is a wasteful number, since it uses less digits than its factorization.

20160282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166704 (or 166686 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20160282240 its reverse (4228206102), we get a palindrome (24388488342).

The spelling of 20160282240 in words is "twenty billion, one hundred sixty million, two hundred eighty-two thousand, two hundred forty".