2578390528 has 160 divisors (see below), whose sum is σ = 6348165120. Its totient is φ = 1021870080.

The previous prime is 2578390501. The next prime is 2578390537. The reversal of 2578390528 is 8250938752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554888 + ... + 2555896.

It is an arithmetic number, because the mean of its divisors is an integer number (39676032).

Almost surely, 2^2578390528 is an apocalyptic number.

2578390528 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 2578390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174082560).

2578390528 is an abundant number, since it is smaller than the sum of its proper divisors (3769774592).

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

2578390528 is a wasteful number, since it uses less digits than its factorization.

2578390528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The square root of 2578390528 is about 50777.8547006468. The cubic root of 2578390528 is about 1371.2487110688.

The spelling of 2578390528 in words is "two billion, five hundred seventy-eight million, three hundred ninety thousand, five hundred twenty-eight".