2048598432 has 192 divisors, whose sum is σ = 6212828160. Its totient is φ = 656232192.

The previous prime is 2048598421. The next prime is 2048598463. The reversal of 2048598432 is 2348958402.

2048598432 is a `hidden beast` number, since 20 + 4 + 8 + 598 + 4 + 32 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2488773 + ... + 2489595.

It is an arithmetic number, because the mean of its divisors is an integer number (32358480).

Almost surely, 2^2048598432 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 2048598432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106414080).

2048598432 is an abundant number, since it is smaller than the sum of its proper divisors (4164229728).

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

2048598432 is a wasteful number, since it uses less digits than its factorization.

2048598432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2048598432 is about 45261.4453149698. The cubic root of 2048598432 is about 1270.0445211416.

The spelling of 2048598432 in words is "two billion, forty-eight million, five hundred ninety-eight thousand, four hundred thirty-two".