2773813248 has 240 divisors, whose sum is σ = 8657288640. Its totient is φ = 883187712.

The previous prime is 2773813219. The next prime is 2773813253. The reversal of 2773813248 is 8423183772.

2773813248 is a `hidden beast` number, since 27 + 7 + 381 + 3 + 248 = 666.

Its product of digits (451584) is a multiple of the sum of its prime factors (784).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3815061 + ... + 3815787.

It is an arithmetic number, because the mean of its divisors is an integer number (36072036).

Almost surely, 2^2773813248 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 2773813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328644320).

2773813248 is an abundant number, since it is smaller than the sum of its proper divisors (5883475392).

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

2773813248 is an equidigital number, since it uses as much as digits as its factorization.

2773813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2773813248 is about 52667.0034082062. The cubic root of 2773813248 is about 1405.0520276407.

The spelling of 2773813248 in words is "two billion, seven hundred seventy-three million, eight hundred thirteen thousand, two hundred forty-eight".