2001480516000 has 3840 divisors, whose sum is σ = 9682768263168. Its totient is φ = 394149888000.

The previous prime is 2001480515999. The next prime is 2001480516001. The reversal of 2001480516000 is 6150841002.

2001480516000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 8 + 0 + 51 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2001480515999) and next prime (2001480516001).

It is a super-3 number, since 3×2001480516000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001480516001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 32811155970 + ... + 32811156030.

Almost surely, 2^{2001480516000} is an apocalyptic number.

2001480516000 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 2001480516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841384131584).

2001480516000 is an abundant number, since it is smaller than the sum of its proper divisors (7681287747168).

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

2001480516000 is a wasteful number, since it uses less digits than its factorization.

2001480516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 2001480516000 in words is "two trillion, one billion, four hundred eighty million, five hundred sixteen thousand".