2002002200224 has 48 divisors (see below), whose sum is σ = 4245309079200. Its totient is φ = 923853116160.

The previous prime is 2002002200221. The next prime is 2002002200227. The reversal of 2002002200224 is 4220022002002.

It is an interprime number because it is at equal distance from previous prime (2002002200221) and next prime (2002002200227).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2002002200198 and 2002002200207.

It is not an unprimeable number, because it can be changed into a prime (2002002200221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2238379 + ... + 3002389.

It is an arithmetic number, because the mean of its divisors is an integer number (88443939150).

Almost surely, 2^{2002002200224} is an apocalyptic number.

It is an amenable number.

2002002200224 is an abundant number, since it is smaller than the sum of its proper divisors (2243306878976).

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

2002002200224 is a wasteful number, since it uses less digits than its factorization.

2002002200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770333 (or 770325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2002002200224 its reverse (4220022002002), we get a palindrome (6222024202226).

The spelling of 2002002200224 in words is "two trillion, two billion, two million, two hundred thousand, two hundred twenty-four".