2528353584 has 60 divisors (see below), whose sum is σ = 7123428000. Its totient is φ = 837121152.

The previous prime is 2528353571. The next prime is 2528353627. The reversal of 2528353584 is 4853538252.

2528353584 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37464 + ... + 80375.

It is an arithmetic number, because the mean of its divisors is an integer number (118723800).

Almost surely, 2^2528353584 is an apocalyptic number.

2528353584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2528353584 is an abundant number, since it is smaller than the sum of its proper divisors (4595074416).

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

2528353584 is a wasteful number, since it uses less digits than its factorization.

2528353584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118002 (or 117993 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 2528353584 is about 50282.7364410490. The cubic root of 2528353584 is about 1362.3204302135.

The spelling of 2528353584 in words is "two billion, five hundred twenty-eight million, three hundred fifty-three thousand, five hundred eighty-four".