2364009120 has 288 divisors, whose sum is σ = 9319302720. Its totient is φ = 539320320.

The previous prime is 2364009097. The next prime is 2364009121. The reversal of 2364009120 is 219004632.

2364009120 is a `hidden beast` number, since 2 + 3 + 640 + 0 + 9 + 12 + 0 = 666.

2364009120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2364009121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264891 + ... + 273669.

It is an arithmetic number, because the mean of its divisors is an integer number (32358690).

Almost surely, 2^2364009120 is an apocalyptic number.

2364009120 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 2364009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659651360).

2364009120 is an abundant number, since it is smaller than the sum of its proper divisors (6955293600).

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

2364009120 is a wasteful number, since it uses less digits than its factorization.

2364009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2364009120 is about 48621.0769111504. The cubic root of 2364009120 is about 1332.1395303337.

The spelling of 2364009120 in words is "two billion, three hundred sixty-four million, nine thousand, one hundred twenty".