2169084960 has 288 divisors, whose sum is σ = 8832136320. Its totient is φ = 495742464.

The previous prime is 2169084941. The next prime is 2169084971. The reversal of 2169084960 is 694809612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206557 + ... + 216803.

It is an arithmetic number, because the mean of its divisors is an integer number (30667140).

Almost surely, 2^2169084960 is an apocalyptic number.

2169084960 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 2169084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416068160).

2169084960 is an abundant number, since it is smaller than the sum of its proper divisors (6663051360).

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

2169084960 is a wasteful number, since it uses less digits than its factorization.

2169084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2169084960 is about 46573.4362056312. The cubic root of 2169084960 is about 1294.4705895417.

The spelling of 2169084960 in words is "two billion, one hundred sixty-nine million, eighty-four thousand, nine hundred sixty".