2002000302000 has 240 divisors, whose sum is σ = 7007921107200. Its totient is φ = 532675584000.

The previous prime is 2002000301971. The next prime is 2002000302047. The reversal of 2002000302000 is 2030002002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7958145 + ... + 8205855.

It is an arithmetic number, because the mean of its divisors is an integer number (29199671280).

Almost surely, 2^{2002000302000} is an apocalyptic number.

2002000302000 is a gapful number since it is divisible by the number (20) 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 2002000302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503960553600).

2002000302000 is an abundant number, since it is smaller than the sum of its proper divisors (5005920805200).

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

2002000302000 is a wasteful number, since it uses less digits than its factorization.

2002000302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248189 (or 248170 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 2002000302000 its reverse (2030002002), we get a palindrome (2004030304002).

The spelling of 2002000302000 in words is "two trillion, two billion, three hundred two thousand".