2001516480 has 280 divisors, whose sum is σ = 7315675488. Its totient is φ = 519063552.

The previous prime is 2001516469. The next prime is 2001516481. The reversal of 2001516480 is 846151002.

2001516480 is a `hidden beast` number, since 2 + 0 + 0 + 15 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001516481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957997 + ... + 960083.

Almost surely, 2^2001516480 is an apocalyptic number.

2001516480 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 2001516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657837744).

2001516480 is an abundant number, since it is smaller than the sum of its proper divisors (5314159008).

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

2001516480 is a wasteful number, since it uses less digits than its factorization.

2001516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2134 counting only the distinct ones).

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

The square root of 2001516480 is about 44738.3110991016. The cubic root of 2001516480 is about 1260.2394102895.

Adding to 2001516480 its reverse (846151002), we get a palindrome (2847667482).

The spelling of 2001516480 in words is "two billion, one million, five hundred sixteen thousand, four hundred eighty".