2002315141000 has 128 divisors (see below), whose sum is σ = 4841937285120. Its totient is φ = 774228000000.

The previous prime is 2002315140977. The next prime is 2002315141003. The reversal of 2002315141000 is 1415132002.

It is not an unprimeable number, because it can be changed into a prime (2002315141003) by changing a digit.

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, 28205550 + ... + 28276450.

It is an arithmetic number, because the mean of its divisors is an integer number (37827635040).

Almost surely, 2^{2002315141000} is an apocalyptic number.

2002315141000 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 2002315141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420968642560).

2002315141000 is an abundant number, since it is smaller than the sum of its proper divisors (2839622144120).

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

2002315141000 is a wasteful number, since it uses less digits than its factorization.

2002315141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71864 (or 71850 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 2002315141000 in words is "two trillion, two billion, three hundred fifteen million, one hundred forty-one thousand".