2284487712 has 288 divisors, whose sum is σ = 7499681280. Its totient is φ = 680244480.

The previous prime is 2284487701. The next prime is 2284487717. The reversal of 2284487712 is 2177844822.

2284487712 is a `hidden beast` number, since 22 + 84 + 487 + 71 + 2 = 666.

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

Its product of digits (401408) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284487717) 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, 73693137 + ... + 73693167.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^2284487712 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 2284487712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749840640).

2284487712 is an abundant number, since it is smaller than the sum of its proper divisors (5215193568).

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

2284487712 is an frugal number, since it uses more digits than its factorization.

2284487712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

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

The square root of 2284487712 is about 47796.3148370248. The cubic root of 2284487712 is about 1317.0318431910.

The spelling of 2284487712 in words is "two billion, two hundred eighty-four million, four hundred eighty-seven thousand, seven hundred twelve".