2718209664 has 192 divisors, whose sum is σ = 8166674880. Its totient is φ = 899942400.

The previous prime is 2718209633. The next prime is 2718209671. The reversal of 2718209664 is 4669028172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 8740069 + ... + 8740379.

It is an arithmetic number, because the mean of its divisors is an integer number (42534765).

Almost surely, 2^2718209664 is an apocalyptic number.

2718209664 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 2718209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083337440).

2718209664 is an abundant number, since it is smaller than the sum of its proper divisors (5448465216).

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

2718209664 is an equidigital number, since it uses as much as digits as its factorization.

2718209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2718209664 is about 52136.4523534158. The cubic root of 2718209664 is about 1395.6000748206.

The spelling of 2718209664 in words is "two billion, seven hundred eighteen million, two hundred nine thousand, six hundred sixty-four".