224006202640 has 80 divisors (see below), whose sum is σ = 568774846080. Its totient is φ = 81368821760.

The previous prime is 224006202619. The next prime is 224006202649. The reversal of 224006202640 is 46202600422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 224006202599 and 224006202608.

It is not an unprimeable number, because it can be changed into a prime (224006202649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680517 + ... + 954523.

It is an arithmetic number, because the mean of its divisors is an integer number (7109685576).

Almost surely, 2^224006202640 is an apocalyptic number.

224006202640 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 224006202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284387423040).

224006202640 is an abundant number, since it is smaller than the sum of its proper divisors (344768643440).

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

224006202640 is a wasteful number, since it uses less digits than its factorization.

224006202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274960 (or 274954 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 224006202640 in words is "two hundred twenty-four billion, six million, two hundred two thousand, six hundred forty".