2688134099520 has 224 divisors, whose sum is σ = 9226840982400. Its totient is φ = 660753137664.

The previous prime is 2688134099507. The next prime is 2688134099531. The reversal of 2688134099520 is 259904318862.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 1316685 + ... + 2666444.

Almost surely, 2^{2688134099520} is an apocalyptic number.

2688134099520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688134099520 is an abundant number, since it is smaller than the sum of its proper divisors (6538706882880).

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

2688134099520 is a wasteful number, since it uses less digits than its factorization.

2688134099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983205 (or 3983195 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 2688134099520 in words is "two trillion, six hundred eighty-eight billion, one hundred thirty-four million, ninety-nine thousand, five hundred twenty".