2791503648 has 120 divisors (see below), whose sum is σ = 8322760908. Its totient is φ = 917692416.

The previous prime is 2791503647. The next prime is 2791503661. The reversal of 2791503648 is 8463051972.

2791503648 is a `hidden beast` number, since 279 + 15 + 0 + 364 + 8 = 666.

2791503648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2789107344 + 2396304 = 52812^2 + 1548^2 .

2791503648 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2791503647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181840 + ... + 196592.

It is a 1-persistent number, because it is pandigital, but 2⋅2791503648 = 5583007296 is not.

Almost surely, 2^2791503648 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 2791503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161380454).

2791503648 is an abundant number, since it is smaller than the sum of its proper divisors (5531257260).

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

2791503648 is a wasteful number, since it uses less digits than its factorization.

2791503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14848 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2791503648 is about 52834.6822456613. The cubic root of 2791503648 is about 1408.0326750768.

The spelling of 2791503648 in words is "two billion, seven hundred ninety-one million, five hundred three thousand, six hundred forty-eight".