2528296320 has 256 divisors, whose sum is σ = 8944992000. Its totient is φ = 602234880.

The previous prime is 2528296291. The next prime is 2528296339. The reversal of 2528296320 is 236928252.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1245066 + ... + 1247094.

It is an arithmetic number, because the mean of its divisors is an integer number (34941375).

Almost surely, 2^2528296320 is an apocalyptic number.

2528296320 is a gapful number since it is divisible by the number (20) 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 2528296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472496000).

2528296320 is an abundant number, since it is smaller than the sum of its proper divisors (6416695680).

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

2528296320 is a wasteful number, since it uses less digits than its factorization.

2528296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2528296320 is about 50282.1670177410. The cubic root of 2528296320 is about 1362.3101451929.

The spelling of 2528296320 in words is "two billion, five hundred twenty-eight million, two hundred ninety-six thousand, three hundred twenty".