2984032224 has 144 divisors (see below), whose sum is σ = 9084741120. Its totient is φ = 962513280.

The previous prime is 2984032217. The next prime is 2984032229. The reversal of 2984032224 is 4222304892.

2984032224 is a `hidden beast` number, since 29 + 8 + 403 + 2 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984032229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234867 + ... + 247245.

It is an arithmetic number, because the mean of its divisors is an integer number (63088480).

Almost surely, 2^2984032224 is an apocalyptic number.

2984032224 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 2984032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542370560).

2984032224 is an abundant number, since it is smaller than the sum of its proper divisors (6100708896).

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

2984032224 is a wasteful number, since it uses less digits than its factorization.

2984032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2984032224 is about 54626.2960853104. The cubic root of 2984032224 is about 1439.6861816147.

The spelling of 2984032224 in words is "two billion, nine hundred eighty-four million, thirty-two thousand, two hundred twenty-four".