2002013228376 has 480 divisors, whose sum is σ = 6735268108800. Its totient is φ = 553612631040.

The previous prime is 2002013228359. The next prime is 2002013228381. The reversal of 2002013228376 is 6738223102002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2002013228376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165326610 + ... + 165338718.

It is an arithmetic number, because the mean of its divisors is an integer number (14031808560).

Almost surely, 2^{2002013228376} 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 2002013228376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367634054400).

2002013228376 is an abundant number, since it is smaller than the sum of its proper divisors (4733254880424).

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

2002013228376 is a wasteful number, since it uses less digits than its factorization.

2002013228376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2002013228376 in words is "two trillion, two billion, thirteen million, two hundred twenty-eight thousand, three hundred seventy-six".