2296166400 has 576 divisors, whose sum is σ = 9261907200. Its totient is φ = 552960000.

The previous prime is 2296166371. The next prime is 2296166407. The reversal of 2296166400 is 46616922.

2296166400 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296166407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15206325 + ... + 15206475.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^2296166400 is an apocalyptic number.

2296166400 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 2296166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600).

2296166400 is an abundant number, since it is smaller than the sum of its proper divisors (6965740800).

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

2296166400 is a wasteful number, since it uses less digits than its factorization.

2296166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2296166400 is about 47918.3305218368. The cubic root of 2296166400 is about 1319.2723262031.

The spelling of 2296166400 in words is "two billion, two hundred ninety-six million, one hundred sixty-six thousand, four hundred".