2671584048 has 60 divisors (see below), whose sum is σ = 8544831568. Its totient is φ = 763309440.

The previous prime is 2671584007. The next prime is 2671584049. The reversal of 2671584048 is 8404851762.

2671584048 is a `hidden beast` number, since 2 + 67 + 1 + 584 + 0 + 4 + 8 = 666.

2671584048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2671584048² = 14274722651056132608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2671583994 and 2671584012.

It is not an unprimeable number, because it can be changed into a prime (2671584049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324183 + ... + 1326198.

Almost surely, 2^2671584048 is an apocalyptic number.

2671584048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2671584048 is an abundant number, since it is smaller than the sum of its proper divisors (5873247520).

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

2671584048 is a wasteful number, since it uses less digits than its factorization.

2671584048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650402 (or 2650393 counting only the distinct ones).

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

The square root of 2671584048 is about 51687.3683601709. The cubic root of 2671584048 is about 1387.5744057493.

The spelling of 2671584048 in words is "two billion, six hundred seventy-one million, five hundred eighty-four thousand, forty-eight".