2002135933728 has 576 divisors, whose sum is σ = 7005398400000. Its totient is φ = 529405673472.

The previous prime is 2002135933727. The next prime is 2002135933753. The reversal of 2002135933728 is 8273395312002.

2002135933728 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 3 + 593 + 37 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (2002135933727) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 728312898 + ... + 728315646.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150000).

Almost surely, 2^{2002135933728} is an apocalyptic number.

2002135933728 is a gapful number since it is divisible by the number (28) 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 2002135933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502699200000).

2002135933728 is an abundant number, since it is smaller than the sum of its proper divisors (5003262466272).

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

2002135933728 is a wasteful number, since it uses less digits than its factorization.

2002135933728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2002135933728 in words is "two trillion, two billion, one hundred thirty-five million, nine hundred thirty-three thousand, seven hundred twenty-eight".