2281207968 has 288 divisors, whose sum is σ = 7636809600. Its totient is φ = 659902464.

The previous prime is 2281207967. The next prime is 2281207987. The reversal of 2281207968 is 8697021822.

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 (2281207967) 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, 2481813 + ... + 2482731.

It is an arithmetic number, because the mean of its divisors is an integer number (26516700).

Almost surely, 2^2281207968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818404800).

2281207968 is an abundant number, since it is smaller than the sum of its proper divisors (5355601632).

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

2281207968 is a wasteful number, since it uses less digits than its factorization.

2281207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2281207968 is about 47761.9929232439. The cubic root of 2281207968 is about 1316.4012720517.

The spelling of 2281207968 in words is "two billion, two hundred eighty-one million, two hundred seven thousand, nine hundred sixty-eight".