2282946912 has 144 divisors (see below), whose sum is σ = 6680917152. Its totient is φ = 739031040.

The previous prime is 2282946907. The next prime is 2282946923. The reversal of 2282946912 is 2196492822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687533 + ... + 4688019.

It is an arithmetic number, because the mean of its divisors is an integer number (46395258).

Almost surely, 2^2282946912 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 2282946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340458576).

2282946912 is an abundant number, since it is smaller than the sum of its proper divisors (4397970240).

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

2282946912 is a wasteful number, since it uses less digits than its factorization.

2282946912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

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

The square root of 2282946912 is about 47780.1937208296. The cubic root of 2282946912 is about 1316.7356806496.

The spelling of 2282946912 in words is "two billion, two hundred eighty-two million, nine hundred forty-six thousand, nine hundred twelve".