2002002224004 has 72 divisors (see below), whose sum is σ = 5174715513240. Its totient is φ = 652379000832.

The previous prime is 2002002223997. The next prime is 2002002224059. The reversal of 2002002224004 is 4004222002002.

2002002224004 is a `hidden beast` number, since 20 + 0 + 20 + 0 + 222 + 400 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3617604 + 2001998606400 = 1902^2 + 1414920^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365469 + ... + 2422500.

It is an arithmetic number, because the mean of its divisors is an integer number (71871048795).

Almost surely, 2^{2002002224004} is an apocalyptic number.

It is an amenable number.

2002002224004 is an abundant number, since it is smaller than the sum of its proper divisors (3172713289236).

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

2002002224004 is a wasteful number, since it uses less digits than its factorization.

2002002224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788309 (or 3788304 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002002224004 its reverse (4004222002002), we get a palindrome (6006224226006).

The spelling of 2002002224004 in words is "two trillion, two billion, two million, two hundred twenty-four thousand, four".