2284156224 has 336 divisors, whose sum is σ = 7841748096. Its totient is φ = 622080000.

The previous prime is 2284156223. The next prime is 2284156241. The reversal of 2284156224 is 4226514822.

2284156224 is a `hidden beast` number, since 2 + 28 + 4 + 1 + 5 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284156223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9100099 + ... + 9100349.

It is an arithmetic number, because the mean of its divisors is an integer number (23338536).

Almost surely, 2^2284156224 is an apocalyptic number.

2284156224 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 2284156224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920874048).

2284156224 is an abundant number, since it is smaller than the sum of its proper divisors (5557591872).

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

2284156224 is a wasteful number, since it uses less digits than its factorization.

2284156224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2284156224 is about 47792.8469961772. The cubic root of 2284156224 is about 1316.9681379721.

The spelling of 2284156224 in words is "two billion, two hundred eighty-four million, one hundred fifty-six thousand, two hundred twenty-four".