2281944960 has 448 divisors, whose sum is σ = 8414963280. Its totient is φ = 591224832.

The previous prime is 2281944949. The next prime is 2281945007. The reversal of 2281944960 is 694491822.

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 55 ways as a sum of consecutive naturals, for example, 31259484 + ... + 31259556.

Almost surely, 2^2281944960 is an apocalyptic number.

2281944960 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 2281944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207481640).

2281944960 is an abundant number, since it is smaller than the sum of its proper divisors (6133018320).

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

2281944960 is an frugal number, since it uses more digits than its factorization.

2281944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

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

The square root of 2281944960 is about 47769.7075561490. The cubic root of 2281944960 is about 1316.5430204529.

The spelling of 2281944960 in words is "two billion, two hundred eighty-one million, nine hundred forty-four thousand, nine hundred sixty".