2299968000 has 640 divisors, whose sum is σ = 9345473280. Its totient is φ = 557568000.

The previous prime is 2299967959. The next prime is 2299968037. The reversal of 2299968000 is 8699922.

The cubic root of 2299968000 is 1320.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 209087995 + ... + 209088005.

It is an arithmetic number, because the mean of its divisors is an integer number (14602302).

Almost surely, 2^2299968000 is an apocalyptic number.

2299968000 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 2299968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672736640).

2299968000 is an abundant number, since it is smaller than the sum of its proper divisors (7045505280).

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

2299968000 is an frugal number, since it uses more digits than its factorization.

2299968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2299968000 is about 47957.9816089043.

It can be divided in two parts, 2299 and 968000, that added together give a cube (970299 = 99³).

The spelling of 2299968000 in words is "two billion, two hundred ninety-nine million, nine hundred sixty-eight thousand".