2817428224 has 144 divisors (see below), whose sum is σ = 6752803680. Its totient is φ = 1159004160.

The previous prime is 2817428221. The next prime is 2817428261. The reversal of 2817428224 is 4228247182.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2817428221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073634 + ... + 1076254.

It is an arithmetic number, because the mean of its divisors is an integer number (46894470).

Almost surely, 2^2817428224 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 2817428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376401840).

2817428224 is an abundant number, since it is smaller than the sum of its proper divisors (3935375456).

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

2817428224 is a wasteful number, since it uses less digits than its factorization.

2817428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2672 counting only the distinct ones).

The product of its digits is 114688, while the sum is 40.

The square root of 2817428224 is about 53079.4519941568. The cubic root of 2817428224 is about 1412.3780309124.

The spelling of 2817428224 in words is "two billion, eight hundred seventeen million, four hundred twenty-eight thousand, two hundred twenty-four".