2048128416 has 84 divisors (see below), whose sum is σ = 6045682482. Its totient is φ = 682701696.

The previous prime is 2048128339. The next prime is 2048128417. The reversal of 2048128416 is 6148218402.

2048128416 is digitally balanced in base 4, 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 only one way, i.e., 1640250000 + 407878416 = 40500^2 + 20196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2048128417) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20571 + ... + 67226.

Almost surely, 2^2048128416 is an apocalyptic number.

It is an amenable number.

2048128416 is an abundant number, since it is smaller than the sum of its proper divisors (3997554066).

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

2048128416 is an frugal number, since it uses more digits than its factorization.

2048128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87825 (or 87802 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2048128416 is about 45256.2527834552. The cubic root of 2048128416 is about 1269.9473836882.

The spelling of 2048128416 in words is "two billion, forty-eight million, one hundred twenty-eight thousand, four hundred sixteen".