2001535680960 has 336 divisors, whose sum is σ = 7056450659232. Its totient is φ = 520565760000.

The previous prime is 2001535680913. The next prime is 2001535680979. The reversal of 2001535680960 is 690865351002.

2001535680960 is a `hidden beast` number, since 20 + 0 + 1 + 5 + 3 + 568 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×2001535680960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19437610 + ... + 19540310.

Almost surely, 2^{2001535680960} is an apocalyptic number.

2001535680960 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 2001535680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528225329616).

2001535680960 is an abundant number, since it is smaller than the sum of its proper divisors (5054914978272).

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

2001535680960 is a wasteful number, since it uses less digits than its factorization.

2001535680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102892 (or 102879 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2001535680960 in words is "two trillion, one billion, five hundred thirty-five million, six hundred eighty thousand, nine hundred sixty".