2648882880 has 672 divisors, whose sum is σ = 11297594880. Its totient is φ = 555909120.

The previous prime is 2648882879. The next prime is 2648882903. The reversal of 2648882880 is 882888462.

2648882880 is a `hidden beast` number, since 2 + 6 + 488 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20220415 + ... + 20220545.

Almost surely, 2^2648882880 is an apocalyptic number.

2648882880 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 2648882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648797440).

2648882880 is an abundant number, since it is smaller than the sum of its proper divisors (8648712000).

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

2648882880 is a wasteful number, since it uses less digits than its factorization.

2648882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The square root of 2648882880 is about 51467.2991325560. The cubic root of 2648882880 is about 1383.6330233100.

The spelling of 2648882880 in words is "two billion, six hundred forty-eight million, eight hundred eighty-two thousand, eight hundred eighty".