2161009200 has 120 divisors (see below), whose sum is σ = 7911382528. Its totient is φ = 493943040.

The previous prime is 2161009187. The next prime is 2161009217. The reversal of 2161009200 is 29001612.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120232 + ... + 137031.

Almost surely, 2^2161009200 is an apocalyptic number.

2161009200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2161009200 is an abundant number, since it is smaller than the sum of its proper divisors (5750373328).

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

2161009200 is a wasteful number, since it uses less digits than its factorization.

2161009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257291 (or 257280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2161009200 is about 46486.6561499104. The cubic root of 2161009200 is about 1292.8621026262.

The spelling of 2161009200 in words is "two billion, one hundred sixty-one million, nine thousand, two hundred".