2048782848 has 160 divisors (see below), whose sum is σ = 6310846080. Its totient is φ = 578519040.

The previous prime is 2048782819. The next prime is 2048782849. The reversal of 2048782848 is 8482878402.

It is a super-2 number, since 2×2048782848² = 8395022316517982208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2048782848.

It is not an unprimeable number, because it can be changed into a prime (2048782849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955858 + ... + 957998.

It is an arithmetic number, because the mean of its divisors is an integer number (39442788).

Almost surely, 2^2048782848 is an apocalyptic number.

2048782848 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 2048782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155423040).

2048782848 is an abundant number, since it is smaller than the sum of its proper divisors (4262063232).

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

2048782848 is an equidigital number, since it uses as much as digits as its factorization.

2048782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The square root of 2048782848 is about 45263.4824996928. The cubic root of 2048782848 is about 1270.0826300423.

The spelling of 2048782848 in words is "two billion, forty-eight million, seven hundred eighty-two thousand, eight hundred forty-eight".