2578575948 has 96 divisors (see below), whose sum is σ = 6721263360. Its totient is φ = 763956480.

The previous prime is 2578575911. The next prime is 2578576009. The reversal of 2578575948 is 8495758752.

2578575948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2578575891 and 2578575900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655103 + ... + 2656073.

It is an arithmetic number, because the mean of its divisors is an integer number (70013160).

Almost surely, 2^2578575948 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 2578575948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360631680).

2578575948 is an abundant number, since it is smaller than the sum of its proper divisors (4142687412).

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

2578575948 is a wasteful number, since it uses less digits than its factorization.

2578575948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1605 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 60.

The square root of 2578575948 is about 50779.6804637446. The cubic root of 2578575948 is about 1371.2815805195.

The spelling of 2578575948 in words is "two billion, five hundred seventy-eight million, five hundred seventy-five thousand, nine hundred forty-eight".