2560823328 has 96 divisors (see below), whose sum is σ = 7753173120. Its totient is φ = 724930560.

The previous prime is 2560823327. The next prime is 2560823329. The reversal of 2560823328 is 8233280652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2560823327) and next prime (2560823329).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2560823328² = 13115632234457991168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2560823327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55768 + ... + 90728.

It is an arithmetic number, because the mean of its divisors is an integer number (80762220).

Almost surely, 2^2560823328 is an apocalyptic number.

2560823328 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 2560823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876586560).

2560823328 is an abundant number, since it is smaller than the sum of its proper divisors (5192349792).

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

2560823328 is a wasteful number, since it uses less digits than its factorization.

2560823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35090 (or 35082 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2560823328 is about 50604.5781328132. The cubic root of 2560823328 is about 1368.1273948594.

The spelling of 2560823328 in words is "two billion, five hundred sixty million, eight hundred twenty-three thousand, three hundred twenty-eight".