2016489600 has 192 divisors, whose sum is σ = 7380108000. Its totient is φ = 537707520.

The previous prime is 2016489599. The next prime is 2016489637. The reversal of 2016489600 is 69846102.

2016489600 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 48 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2016489600³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74731 + ... + 98069.

Almost surely, 2^2016489600 is an apocalyptic number.

2016489600 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 2016489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690054000).

2016489600 is an abundant number, since it is smaller than the sum of its proper divisors (5363618400).

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

2016489600 is a wasteful number, since it uses less digits than its factorization.

2016489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23372 (or 23349 counting only the distinct ones).

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

The square root of 2016489600 is about 44905.3404396404. The cubic root of 2016489600 is about 1263.3741761235.

The spelling of 2016489600 in words is "two billion, sixteen million, four hundred eighty-nine thousand, six hundred".