220045200240 has 160 divisors (see below), whose sum is σ = 692821013760. Its totient is φ = 57761206272.

The previous prime is 220045200227. The next prime is 220045200247. The reversal of 220045200240 is 42002540022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220045200247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26801256 + ... + 26809464.

It is an arithmetic number, because the mean of its divisors is an integer number (4330131336).

Almost surely, 2^220045200240 is an apocalyptic number.

220045200240 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 220045200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346410506880).

220045200240 is an abundant number, since it is smaller than the sum of its proper divisors (472775813520).

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

220045200240 is a wasteful number, since it uses less digits than its factorization.

220045200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 220045200240 its reverse (42002540022), we get a palindrome (262047740262).

The spelling of 220045200240 in words is "two hundred twenty billion, forty-five million, two hundred thousand, two hundred forty".