2738638224 has 225 divisors, whose sum is σ = 9042840833. Its totient is φ = 773676288.

The previous prime is 2738638157. The next prime is 2738638241. The reversal of 2738638224 is 4228368372.

The square root of 2738638224 is 52332.

It is a perfect power (a square), and thus also a powerful number.

2738638224 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 638 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 525876624 + 2212761600 = 22932^2 + 47040^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2738638224.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30771172 + ... + 30771260.

Almost surely, 2^2738638224 is an apocalyptic number.

2738638224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2738638224 is the 52332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738638224

2738638224 is an abundant number, since it is smaller than the sum of its proper divisors (6304202609).

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

2738638224 is an frugal number, since it uses more digits than its factorization.

2738638224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 101 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The cubic root of 2738638224 is about 1399.0875387586.

The spelling of 2738638224 in words is "two billion, seven hundred thirty-eight million, six hundred thirty-eight thousand, two hundred twenty-four".