2278741248 has 216 divisors, whose sum is σ = 7788359488. Its totient is φ = 650944512.

The previous prime is 2278741177. The next prime is 2278741253. The reversal of 2278741248 is 8421478722.

2278741248 is a `hidden beast` number, since 227 + 8 + 7 + 412 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432840 + ... + 438072.

Almost surely, 2^2278741248 is an apocalyptic number.

2278741248 is a gapful number since it is divisible by the number (28) 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 2278741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894179744).

2278741248 is an abundant number, since it is smaller than the sum of its proper divisors (5509618240).

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

2278741248 is an frugal number, since it uses more digits than its factorization.

2278741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5245 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 2278741248 is about 47736.1628956497. The cubic root of 2278741248 is about 1315.9266164431.

The spelling of 2278741248 in words is "two billion, two hundred seventy-eight million, seven hundred forty-one thousand, two hundred forty-eight".