2718664704 has 288 divisors, whose sum is σ = 9454536000. Its totient is φ = 735215616.

The previous prime is 2718664679. The next prime is 2718664727. The reversal of 2718664704 is 4074668172.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2718664704² = 14782275545550815232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2718664704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450902 + ... + 2452010.

It is an arithmetic number, because the mean of its divisors is an integer number (32828250).

Almost surely, 2^2718664704 is an apocalyptic number.

2718664704 is a gapful number since it is divisible by the number (24) 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 2718664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727268000).

2718664704 is an abundant number, since it is smaller than the sum of its proper divisors (6735871296).

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

2718664704 is a wasteful number, since it uses less digits than its factorization.

2718664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2718664704 is about 52140.8161040849. The cubic root of 2718664704 is about 1395.6779469623.

The spelling of 2718664704 in words is "two billion, seven hundred eighteen million, six hundred sixty-four thousand, seven hundred four".