2688279552 has 198 divisors, whose sum is σ = 9031187958. Its totient is φ = 767950848.

The previous prime is 2688279551. The next prime is 2688279553. The reversal of 2688279552 is 2559728862.

It is a happy number.

2688279552 is a `hidden beast` number, since 2 + 6 + 8 + 82 + 7 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2688279551) and next prime (2688279553).

It can be written as a sum of positive squares in only one way, i.e., 1467196416 + 1221083136 = 38304^2 + 34944^2 .

It is a super-3 number, since 3×2688279552³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2688279551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 448608 + ... + 454560.

Almost surely, 2^2688279552 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 2688279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515593979).

2688279552 is an abundant number, since it is smaller than the sum of its proper divisors (6342908406).

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

2688279552 is a wasteful number, since it uses less digits than its factorization.

2688279552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5965 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2688279552 is about 51848.6215053014. The cubic root of 2688279552 is about 1390.4588571865.

The spelling of 2688279552 in words is "two billion, six hundred eighty-eight million, two hundred seventy-nine thousand, five hundred fifty-two".