3002024410000 has 400 divisors, whose sum is σ = 9232753673088. Its totient is φ = 918028800000.

The previous prime is 3002024409949. The next prime is 3002024410019. The reversal of 3002024410000 is 144202003.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 40773220 + ... + 40846780.

Almost surely, 2^{3002024410000} 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 3002024410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616376836544).

3002024410000 is an abundant number, since it is smaller than the sum of its proper divisors (6230729263088).

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

3002024410000 is a wasteful number, since it uses less digits than its factorization.

3002024410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73660 (or 73639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 3002024410000 its reverse (144202003), we get a palindrome (3002168612003).

The spelling of 3002024410000 in words is "three trillion, two billion, twenty-four million, four hundred ten thousand".