2582432928 has 168 divisors, whose sum is σ = 7870859136. Its totient is φ = 832809600.

The previous prime is 2582432911. The next prime is 2582432969. The reversal of 2582432928 is 8292342852.

2582432928 is a `hidden beast` number, since 2 + 582 + 43 + 2 + 9 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 721383 + ... + 724953.

It is an arithmetic number, because the mean of its divisors is an integer number (46850352).

Almost surely, 2^2582432928 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 2582432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935429568).

2582432928 is an abundant number, since it is smaller than the sum of its proper divisors (5288426208).

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

2582432928 is an equidigital number, since it uses as much as digits as its factorization.

2582432928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3607 counting only the distinct ones).

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

The square root of 2582432928 is about 50817.6438650987. The cubic root of 2582432928 is about 1371.9649513496.

The spelling of 2582432928 in words is "two billion, five hundred eighty-two million, four hundred thirty-two thousand, nine hundred twenty-eight".