2001335001564 has 24 divisors (see below), whose sum is σ = 4670027041680. Its totient is φ = 667076614144.

The previous prime is 2001335001541. The next prime is 2001335001577. The reversal of 2001335001564 is 4651005331002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4143219 + ... + 4600970.

It is an arithmetic number, because the mean of its divisors is an integer number (194584460070).

Almost surely, 2^{2001335001564} is an apocalyptic number.

It is an amenable number.

2001335001564 is an abundant number, since it is smaller than the sum of its proper divisors (2668692040116).

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

2001335001564 is a wasteful number, since it uses less digits than its factorization.

2001335001564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763269 (or 8763267 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 2001335001564 in words is "two trillion, one billion, three hundred thirty-five million, one thousand, five hundred sixty-four".