2688487848 has 288 divisors, whose sum is σ = 8417597760. Its totient is φ = 800616960.

The previous prime is 2688487799. The next prime is 2688487903. The reversal of 2688487848 is 8487848862.

It is a super-2 number, since 2×2688487848² = 14455933817687342208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20522743 + ... + 20522873.

It is an arithmetic number, because the mean of its divisors is an integer number (29227770).

Almost surely, 2^2688487848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688487848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208798880).

2688487848 is an abundant number, since it is smaller than the sum of its proper divisors (5729109912).

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

2688487848 is a wasteful number, since it uses less digits than its factorization.

2688487848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The square root of 2688487848 is about 51850.6301601051. The cubic root of 2688487848 is about 1390.4947685730.

The spelling of 2688487848 in words is "two billion, six hundred eighty-eight million, four hundred eighty-seven thousand, eight hundred forty-eight".