3001002444240 has 80 divisors (see below), whose sum is σ = 9303658474176. Its totient is φ = 800219929600.

The previous prime is 3001002444239. The next prime is 3001002444263. The reversal of 3001002444240 is 424442001003.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3001002444240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3788260 + ... + 4511420.

Almost surely, 2^{3001002444240} is an apocalyptic number.

3001002444240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001002444240 is an abundant number, since it is smaller than the sum of its proper divisors (6302656029936).

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

3001002444240 is a wasteful number, since it uses less digits than its factorization.

3001002444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740468 (or 740462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3001002444240 its reverse (424442001003), we get a palindrome (3425444445243).

The spelling of 3001002444240 in words is "three trillion, one billion, two million, four hundred forty-four thousand, two hundred forty".