2281368960 has 192 divisors, whose sum is σ = 8484119280. Its totient is φ = 561549312.

The previous prime is 2281368923. The next prime is 2281368967. The reversal of 2281368960 is 698631822.

2281368960 is a `hidden beast` number, since 2 + 281 + 368 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281368967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59647 + ... + 90113.

Almost surely, 2^2281368960 is an apocalyptic number.

2281368960 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 2281368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242059640).

2281368960 is an abundant number, since it is smaller than the sum of its proper divisors (6202750320).

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

2281368960 is a wasteful number, since it uses less digits than its factorization.

2281368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30505 (or 30490 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2281368960 is about 47763.6782503190. The cubic root of 2281368960 is about 1316.4322388453.

The spelling of 2281368960 in words is "two billion, two hundred eighty-one million, three hundred sixty-eight thousand, nine hundred sixty".