2016249984 has 96 divisors (see below), whose sum is σ = 6630848640. Its totient is φ = 576069120.

The previous prime is 2016249953. The next prime is 2016250001. The reversal of 2016249984 is 4899426102.

2016249984 is a `hidden beast` number, since 20 + 1 + 62 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116952 + ... + 133079.

It is an arithmetic number, because the mean of its divisors is an integer number (69071340).

Almost surely, 2^2016249984 is an apocalyptic number.

2016249984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2016249984 is an abundant number, since it is smaller than the sum of its proper divisors (4614598656).

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

2016249984 is a wasteful number, since it uses less digits than its factorization.

2016249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250058 (or 250043 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2016249984 is about 44902.6723480908. The cubic root of 2016249984 is about 1263.3241326125.

The spelling of 2016249984 in words is "two billion, sixteen million, two hundred forty-nine thousand, nine hundred eighty-four".