2284408224 has 144 divisors (see below), whose sum is σ = 7750814400. Its totient is φ = 652675968.

The previous prime is 2284408207. The next prime is 2284408237. The reversal of 2284408224 is 4228044822.

It is a happy number.

2284408224 is a `hidden beast` number, since 2 + 28 + 4 + 408 + 224 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 15357 + ... + 69315.

It is an arithmetic number, because the mean of its divisors is an integer number (53825100).

Almost surely, 2^2284408224 is an apocalyptic number.

2284408224 is a gapful number since it is divisible by the number (24) 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 2284408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875407200).

2284408224 is an abundant number, since it is smaller than the sum of its proper divisors (5466406176).

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

2284408224 is a wasteful number, since it uses less digits than its factorization.

2284408224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53992 (or 53971 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 2284408224 is about 47795.4833012493. The cubic root of 2284408224 is about 1317.0165677836.

The spelling of 2284408224 in words is "two billion, two hundred eighty-four million, four hundred eight thousand, two hundred twenty-four".