2016445200 has 480 divisors, whose sum is σ = 8162810880. Its totient is φ = 413337600.

The previous prime is 2016445187. The next prime is 2016445241. The reversal of 2016445200 is 25446102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12843522 + ... + 12843678.

It is an arithmetic number, because the mean of its divisors is an integer number (17005856).

Almost surely, 2^2016445200 is an apocalyptic number.

2016445200 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 2016445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081405440).

2016445200 is an abundant number, since it is smaller than the sum of its proper divisors (6146365680).

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

2016445200 is a wasteful number, since it uses less digits than its factorization.

2016445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2016445200 is about 44904.8460636489. The cubic root of 2016445200 is about 1263.3649035366.

The spelling of 2016445200 in words is "two billion, sixteen million, four hundred forty-five thousand, two hundred".