2001484800 has 792 divisors, whose sum is σ = 8790571296. Its totient is φ = 424673280.

The previous prime is 2001484799. The next prime is 2001484811. The reversal of 2001484800 is 84841002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417564 + ... + 27417636.

Almost surely, 2^2001484800 is an apocalyptic number.

2001484800 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 2001484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395285648).

2001484800 is an abundant number, since it is smaller than the sum of its proper divisors (6789086496).

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

2001484800 is a wasteful number, since it uses less digits than its factorization.

2001484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2001484800 is about 44737.9570387384. The cubic root of 2001484800 is about 1260.2327612319.

The spelling of 2001484800 in words is "two billion, one million, four hundred eighty-four thousand, eight hundred".