3002002131040 has 192 divisors, whose sum is σ = 8150556234240. Its totient is φ = 1033373859840.

The previous prime is 3002002131031. The next prime is 3002002131083. The reversal of 3002002131040 is 401312002003.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43537872 + ... + 43606768.

It is an arithmetic number, because the mean of its divisors is an integer number (42450813720).

Almost surely, 2^{3002002131040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002002131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075278117120).

3002002131040 is an abundant number, since it is smaller than the sum of its proper divisors (5148554103200).

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

3002002131040 is a wasteful number, since it uses less digits than its factorization.

3002002131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70245 (or 70237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3002002131040 its reverse (401312002003), we get a palindrome (3403314133043).

The spelling of 3002002131040 in words is "three trillion, two billion, two million, one hundred thirty-one thousand, forty".