2048817456 has 160 divisors (see below), whose sum is σ = 6762900480. Its totient is φ = 581727744.

The previous prime is 2048817451. The next prime is 2048817457. The reversal of 2048817456 is 6547188402.

2048817456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2048817451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502980 + ... + 507036.

It is an arithmetic number, because the mean of its divisors is an integer number (42268128).

Almost surely, 2^2048817456 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 2048817456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381450240).

2048817456 is an abundant number, since it is smaller than the sum of its proper divisors (4714083024).

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

2048817456 is a wasteful number, since it uses less digits than its factorization.

2048817456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2048817456 is about 45263.8647930112. The cubic root of 2048817456 is about 1270.0897814058.

The spelling of 2048817456 in words is "two billion, forty-eight million, eight hundred seventeen thousand, four hundred fifty-six".