2296608000 has 288 divisors, whose sum is σ = 7805790720. Its totient is φ = 598220800.

The previous prime is 2296607969. The next prime is 2296608001. The reversal of 2296608000 is 8066922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296608001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4511746 + ... + 4512254.

It is an arithmetic number, because the mean of its divisors is an integer number (27103440).

Almost surely, 2^2296608000 is an apocalyptic number.

2296608000 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 2296608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902895360).

2296608000 is an abundant number, since it is smaller than the sum of its proper divisors (5509182720).

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

2296608000 is an equidigital number, since it uses as much as digits as its factorization.

2296608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2296608000 is about 47922.9381403102. The cubic root of 2296608000 is about 1319.3568951779.

The spelling of 2296608000 in words is "two billion, two hundred ninety-six million, six hundred eight thousand".