2016213984 has 192 divisors, whose sum is σ = 6031872000. Its totient is φ = 655050240.

The previous prime is 2016213959. The next prime is 2016214001. The reversal of 2016213984 is 4893126102.

2016213984 is a `hidden beast` number, since 20 + 1 + 621 + 3 + 9 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7439769 + ... + 7440039.

It is an arithmetic number, because the mean of its divisors is an integer number (31416000).

Almost surely, 2^2016213984 is an apocalyptic number.

2016213984 is a gapful number since it is divisible by the number (24) 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 2016213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015936000).

2016213984 is an abundant number, since it is smaller than the sum of its proper divisors (4015658016).

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

2016213984 is a wasteful number, since it uses less digits than its factorization.

2016213984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2016213984 is about 44902.2714792916. The cubic root of 2016213984 is about 1263.3166137136.

It can be divided in two parts, 2016 and 213984, that added together give a cube (216000 = 60³).

The spelling of 2016213984 in words is "two billion, sixteen million, two hundred thirteen thousand, nine hundred eighty-four".