2971828224 has 128 divisors (see below), whose sum is σ = 8807904000. Its totient is φ = 990314496.

The previous prime is 2971828213. The next prime is 2971828303. The reversal of 2971828224 is 4228281792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2971828224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883057 + ... + 886415.

It is an arithmetic number, because the mean of its divisors is an integer number (68811750).

Almost surely, 2^2971828224 is an apocalyptic number.

2971828224 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 2971828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403952000).

2971828224 is an abundant number, since it is smaller than the sum of its proper divisors (5836075776).

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

2971828224 is an frugal number, since it uses more digits than its factorization.

2971828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3364 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2971828224 is about 54514.4771964292. The cubic root of 2971828224 is about 1437.7208390040.

The spelling of 2971828224 in words is "two billion, nine hundred seventy-one million, eight hundred twenty-eight thousand, two hundred twenty-four".