2781928224 has 72 divisors (see below), whose sum is σ = 7926019920. Its totient is φ = 925561728.

The previous prime is 2781928217. The next prime is 2781928243. The reversal of 2781928224 is 4228291872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2781928224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148707 + ... + 166365.

It is an arithmetic number, because the mean of its divisors is an integer number (110083610).

Almost surely, 2^2781928224 is an apocalyptic number.

2781928224 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 2781928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963009960).

2781928224 is an abundant number, since it is smaller than the sum of its proper divisors (5144091696).

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

2781928224 is a wasteful number, since it uses less digits than its factorization.

2781928224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18222 (or 18211 counting only the distinct ones).

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

The square root of 2781928224 is about 52743.9875625649. The cubic root of 2781928224 is about 1406.4208848099.

The spelling of 2781928224 in words is "two billion, seven hundred eighty-one million, nine hundred twenty-eight thousand, two hundred twenty-four".