2001219984 has 60 divisors (see below), whose sum is σ = 5631652572. Its totient is φ = 663379200.

The previous prime is 2001219967. The next prime is 2001220007. The reversal of 2001219984 is 4899121002.

It can be written as a sum of positive squares in 2 ways, for example, as 860131584 + 1141088400 = 29328^2 + 33780^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 12327 + ... + 64454.

Almost surely, 2^2001219984 is an apocalyptic number.

2001219984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001219984 is an abundant number, since it is smaller than the sum of its proper divisors (3630432588).

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

2001219984 is a wasteful number, since it uses less digits than its factorization.

2001219984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76976 (or 76967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2001219984 is about 44734.9973063596. The cubic root of 2001219984 is about 1260.1771784102.

The spelling of 2001219984 in words is "two billion, one million, two hundred nineteen thousand, nine hundred eighty-four".