2704129411968 has 256 divisors, whose sum is σ = 8358095016000. Its totient is φ = 870291910656.

The previous prime is 2704129411967. The next prime is 2704129411979. The reversal of 2704129411968 is 8691149214072.

2704129411968 is a `hidden beast` number, since 2 + 70 + 412 + 94 + 1 + 19 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704129411967) 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 31 ways as a sum of consecutive naturals, for example, 7951596 + ... + 8284692.

Almost surely, 2^{2704129411968} 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 2704129411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179047508000).

2704129411968 is an abundant number, since it is smaller than the sum of its proper divisors (5653965604032).

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

2704129411968 is an frugal number, since it uses more digits than its factorization.

2704129411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333161 (or 333131 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2704129411968 in words is "two trillion, seven hundred four billion, one hundred twenty-nine million, four hundred eleven thousand, nine hundred sixty-eight".