2558975328 has 480 divisors, whose sum is σ = 9767197440. Its totient is φ = 638254080.

The previous prime is 2558975327. The next prime is 2558975351. The reversal of 2558975328 is 8235798552.

2558975328 is a `hidden beast` number, since 2 + 5 + 589 + 7 + 53 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558975323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481283 + ... + 4481853.

It is an arithmetic number, because the mean of its divisors is an integer number (20348328).

Almost surely, 2^2558975328 is an apocalyptic number.

2558975328 is a gapful number since it is divisible by the number (28) 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 2558975328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883598720).

2558975328 is an abundant number, since it is smaller than the sum of its proper divisors (7208222112).

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

2558975328 is a wasteful number, since it uses less digits than its factorization.

2558975328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 615 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 2558975328 is about 50586.3156199382. The cubic root of 2558975328 is about 1367.7982158517.

The spelling of 2558975328 in words is "two billion, five hundred fifty-eight million, nine hundred seventy-five thousand, three hundred twenty-eight".