2296289600 has 252 divisors, whose sum is σ = 6440538300. Its totient is φ = 804249600.

The previous prime is 2296289599. The next prime is 2296289609. The reversal of 2296289600 is 69826922.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29767936 + 2266521664 = 5456^2 + 47608^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296289609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5614196 + ... + 5614604.

Almost surely, 2^2296289600 is an apocalyptic number.

2296289600 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 2296289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220269150).

2296289600 is an abundant number, since it is smaller than the sum of its proper divisors (4144248700).

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

2296289600 is a wasteful number, since it uses less digits than its factorization.

2296289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 2296289600 is about 47919.6160251728. The cubic root of 2296289600 is about 1319.2959208119.

The spelling of 2296289600 in words is "two billion, two hundred ninety-six million, two hundred eighty-nine thousand, six hundred".