2001335001536 has 84 divisors (see below), whose sum is σ = 4324154083704. Its totient is φ = 918588902400.

The previous prime is 2001335001517. The next prime is 2001335001541. The reversal of 2001335001536 is 6351005331002.

It is a super-2 number, since 2×2001335001536² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001335001499 and 2001335001508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446551 + ... + 2468841.

It is an arithmetic number, because the mean of its divisors is an integer number (51478024806).

Almost surely, 2^{2001335001536} is an apocalyptic number.

2001335001536 is a gapful number since it is divisible by the number (26) 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 2001335001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162077041852).

2001335001536 is an abundant number, since it is smaller than the sum of its proper divisors (2322819082168).

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

2001335001536 is a wasteful number, since it uses less digits than its factorization.

2001335001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022510 (or 1022487 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 2001335001536 in words is "two trillion, one billion, three hundred thirty-five million, one thousand, five hundred thirty-six".