2704096668 has 144 divisors (see below), whose sum is σ = 7850787840. Its totient is φ = 709293312.

The previous prime is 2704096651. The next prime is 2704096679. The reversal of 2704096668 is 8666904072.

2704096668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

2704096668 is a modest number, since divided by 96668 gives 2704 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392446 + ... + 3393242.

It is an arithmetic number, because the mean of its divisors is an integer number (54519360).

Almost surely, 2^2704096668 is an apocalyptic number.

2704096668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704096668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925393920).

2704096668 is an abundant number, since it is smaller than the sum of its proper divisors (5146691172).

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

2704096668 is a wasteful number, since it uses less digits than its factorization.

2704096668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2704096668 is about 52000.9294916927. The cubic root of 2704096668 is about 1393.1805552491.

The spelling of 2704096668 in words is "two billion, seven hundred four million, ninety-six thousand, six hundred sixty-eight".