2001336180480 has 3024 divisors, whose sum is σ = 9321525460800. Its totient is φ = 410847510528.

The previous prime is 2001336180479. The next prime is 2001336180521. The reversal of 2001336180480 is 840816331002.

2001336180480 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 33 + 618 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54090167022 + ... + 54090167058.

Almost surely, 2^{2001336180480} is an apocalyptic number.

2001336180480 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 2001336180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660762730400).

2001336180480 is an abundant number, since it is smaller than the sum of its proper divisors (7320189280320).

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

2001336180480 is an frugal number, since it uses more digits than its factorization.

2001336180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2001336180480 in words is "two trillion, one billion, three hundred thirty-six million, one hundred eighty thousand, four hundred eighty".