3002041002000 has 320 divisors, whose sum is σ = 10200447129600. Its totient is φ = 757482278400.

The previous prime is 3002041001957. The next prime is 3002041002029. The reversal of 3002041002000 is 2001402003.

3002041002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3002041002000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95630307 + ... + 95661693.

It is an arithmetic number, because the mean of its divisors is an integer number (31876397280).

Almost surely, 2^{3002041002000} is an apocalyptic number.

3002041002000 is a gapful number since it is divisible by the number (30) 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 3002041002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100223564800).

3002041002000 is an abundant number, since it is smaller than the sum of its proper divisors (7198406127600).

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

3002041002000 is a wasteful number, since it uses less digits than its factorization.

3002041002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32271 (or 32255 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 3002041002000 its reverse (2001402003), we get a palindrome (3004042404003).

The spelling of 3002041002000 in words is "three trillion, two billion, forty-one million, two thousand".