2448287712 has 288 divisors, whose sum is σ = 7984005120. Its totient is φ = 705438720.

The previous prime is 2448287707. The next prime is 2448287717. The reversal of 2448287712 is 2177828442.

2448287712 is a `hidden beast` number, since 24 + 482 + 87 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2448287707) and next prime (2448287717).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2448287712² = 11988225441460389888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448287717) 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, 9034137 + ... + 9034407.

It is an arithmetic number, because the mean of its divisors is an integer number (27722240).

Almost surely, 2^2448287712 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 2448287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992002560).

2448287712 is an abundant number, since it is smaller than the sum of its proper divisors (5535717408).

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

2448287712 is a wasteful number, since it uses less digits than its factorization.

2448287712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 2448287712 is about 49480.1749390602. The cubic root of 2448287712 is about 1347.7856175079.

The spelling of 2448287712 in words is "two billion, four hundred forty-eight million, two hundred eighty-seven thousand, seven hundred twelve".