2048328576 has 288 divisors, whose sum is σ = 6933892680. Its totient is φ = 578672640.

The previous prime is 2048328563. The next prime is 2048328587. The reversal of 2048328576 is 6758238402.

2048328576 is a `hidden beast` number, since 2 + 0 + 48 + 32 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7394550 + ... + 7394826.

Almost surely, 2^2048328576 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 2048328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466946340).

2048328576 is an abundant number, since it is smaller than the sum of its proper divisors (4885564104).

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

2048328576 is a wasteful number, since it uses less digits than its factorization.

2048328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2048328576 is about 45258.4641365568. The cubic root of 2048328576 is about 1269.9887522512.

The spelling of 2048328576 in words is "two billion, forty-eight million, three hundred twenty-eight thousand, five hundred seventy-six".