2009504160 has 96 divisors (see below), whose sum is σ = 7033279680. Its totient is φ = 535866624.

The previous prime is 2009504131. The next prime is 2009504179. The reversal of 2009504160 is 614059002.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228262 + ... + 236901.

It is an arithmetic number, because the mean of its divisors is an integer number (73263330).

Almost surely, 2^2009504160 is an apocalyptic number.

2009504160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009504160 is an abundant number, since it is smaller than the sum of its proper divisors (5023775520).

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

2009504160 is a wasteful number, since it uses less digits than its factorization.

2009504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465187 (or 465173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2009504160 is about 44827.4933495059. The cubic root of 2009504160 is about 1261.9136454366.

The spelling of 2009504160 in words is "two billion, nine million, five hundred four thousand, one hundred sixty".