2688657120 has 72 divisors (see below), whose sum is σ = 9175047336. Its totient is φ = 716974848.

The previous prime is 2688657109. The next prime is 2688657121. The reversal of 2688657120 is 217568862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688657121) 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 11 ways as a sum of consecutive naturals, for example, 932122 + ... + 935001.

It is an arithmetic number, because the mean of its divisors is an integer number (127431213).

Almost surely, 2^2688657120 is an apocalyptic number.

2688657120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688657120 is an abundant number, since it is smaller than the sum of its proper divisors (6486390216).

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

2688657120 is a wasteful number, since it uses less digits than its factorization.

2688657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867144 (or 1867133 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2688657120 is about 51852.2624385860. The cubic root of 2688657120 is about 1390.5239506392.

The spelling of 2688657120 in words is "two billion, six hundred eighty-eight million, six hundred fifty-seven thousand, one hundred twenty".