2578306752 has 168 divisors, whose sum is σ = 8501883936. Its totient is φ = 731787264.

The previous prime is 2578306747. The next prime is 2578306793. The reversal of 2578306752 is 2576038752.

2578306752 is a `hidden beast` number, since 2 + 578 + 3 + 0 + 6 + 75 + 2 = 666.

2578306752 is digitally balanced in base 2, because in such base 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 (168).

It is a junction number, because it is equal to n+sod(n) for n = 2578306698 and 2578306707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630988 + ... + 635060.

It is an arithmetic number, because the mean of its divisors is an integer number (50606452).

Almost surely, 2^2578306752 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 2578306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250941968).

2578306752 is an abundant number, since it is smaller than the sum of its proper divisors (5923577184).

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

2578306752 is a wasteful number, since it uses less digits than its factorization.

2578306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2578306752 is about 50777.0297674057. The cubic root of 2578306752 is about 1371.2338595590.

The spelling of 2578306752 in words is "two billion, five hundred seventy-eight million, three hundred six thousand, seven hundred fifty-two".