2016145200 has 60 divisors (see below), whose sum is σ = 6458388968. Its totient is φ = 537638400.

The previous prime is 2016145177. The next prime is 2016145231. The reversal of 2016145200 is 25416102.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 838861 + ... + 841260.

Almost surely, 2^2016145200 is an apocalyptic number.

2016145200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016145200 is an abundant number, since it is smaller than the sum of its proper divisors (4442243768).

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

2016145200 is a wasteful number, since it uses less digits than its factorization.

2016145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680142 (or 1680131 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2016145200 is about 44901.5055426875. The cubic root of 2016145200 is about 1263.3022473552.

The spelling of 2016145200 in words is "two billion, sixteen million, one hundred forty-five thousand, two hundred".