2048076576 has 480 divisors, whose sum is σ = 7820588160. Its totient is φ = 510603264.

The previous prime is 2048076521. The next prime is 2048076593. The reversal of 2048076576 is 6756708402.

2048076576 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 0 + 76 + 576 = 666.

It is a super-2 number, since 2×2048076576² = 8389235322319767552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481340 + ... + 4481796.

It is an arithmetic number, because the mean of its divisors is an integer number (16292892).

Almost surely, 2^2048076576 is an apocalyptic number.

2048076576 is a gapful number since it is divisible by the number (26) 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 2048076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910294080).

2048076576 is an abundant number, since it is smaller than the sum of its proper divisors (5772511584).

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

2048076576 is a wasteful number, since it uses less digits than its factorization.

2048076576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2048076576 is about 45255.6800412943. The cubic root of 2048076576 is about 1269.9366690886.

The spelling of 2048076576 in words is "two billion, forty-eight million, seventy-six thousand, five hundred seventy-six".