2648082528 has 288 divisors, whose sum is σ = 9392947200. Its totient is φ = 689015808.

The previous prime is 2648082509. The next prime is 2648082551. The reversal of 2648082528 is 8252808462.

2648082528 is a `hidden beast` number, since 2 + 6 + 48 + 0 + 82 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069793 + ... + 2071071.

It is an arithmetic number, because the mean of its divisors is an integer number (32614400).

Almost surely, 2^2648082528 is an apocalyptic number.

2648082528 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 2648082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696473600).

2648082528 is an abundant number, since it is smaller than the sum of its proper divisors (6744864672).

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

2648082528 is a wasteful number, since it uses less digits than its factorization.

2648082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2648082528 is about 51459.5232002785. The cubic root of 2648082528 is about 1383.4936557529.

The spelling of 2648082528 in words is "two billion, six hundred forty-eight million, eighty-two thousand, five hundred twenty-eight".