2682431123688 has 96 divisors (see below), whose sum is σ = 7554009864960. Its totient is φ = 858984203520.

The previous prime is 2682431123681. The next prime is 2682431123699. The reversal of 2682431123688 is 8863211342862.

2682431123688 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 431 + 123 + 6 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2682431123681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4080370 + ... + 4691937.

It is an arithmetic number, because the mean of its divisors is an integer number (78687602760).

Almost surely, 2^{2682431123688} is an apocalyptic number.

It is an amenable number.

2682431123688 is an abundant number, since it is smaller than the sum of its proper divisors (4871578741272).

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

2682431123688 is a wasteful number, since it uses less digits than its factorization.

2682431123688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772487 (or 8772480 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

It can be divided in two parts, 268243 and 1123688, that added together give a palindrome (1391931).

The spelling of 2682431123688 in words is "two trillion, six hundred eighty-two billion, four hundred thirty-one million, one hundred twenty-three thousand, six hundred eighty-eight".