2578578528 has 48 divisors (see below), whose sum is σ = 6778066176. Its totient is φ = 858345600.

The previous prime is 2578578491. The next prime is 2578578551. The reversal of 2578578528 is 8258758752.

2578578528 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 tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2578578528³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53253 + ... + 89403.

It is an arithmetic number, because the mean of its divisors is an integer number (141209712).

Almost surely, 2^2578578528 is an apocalyptic number.

It is an amenable number.

2578578528 is an abundant number, since it is smaller than the sum of its proper divisors (4199487648).

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

2578578528 is a wasteful number, since it uses less digits than its factorization.

2578578528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36907 (or 36899 counting only the distinct ones).

The product of its digits is 12544000, while the sum is 57.

The square root of 2578578528 is about 50779.7058676003. The cubic root of 2578578528 is about 1371.2820378657.

The spelling of 2578578528 in words is "two billion, five hundred seventy-eight million, five hundred seventy-eight thousand, five hundred twenty-eight".