2718821064960 has 5760 divisors, whose sum is σ = 14647025885184. Its totient is φ = 462469201920.

The previous prime is 2718821064923. The next prime is 2718821064989. The reversal of 2718821064960 is 694601288172.

It is a happy number.

2718821064960 is a `hidden beast` number, since 2 + 71 + 8 + 82 + 1 + 0 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a junction number, because it is equal to n+sod(n) for n = 2718821064897 and 2718821064906.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 40579418847 + ... + 40579418913.

Almost surely, 2^{2718821064960} is an apocalyptic number.

2718821064960 is a gapful number since it is divisible by the number (20) 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 2718821064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323512942592).

2718821064960 is an abundant number, since it is smaller than the sum of its proper divisors (11928204820224).

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

2718821064960 is a wasteful number, since it uses less digits than its factorization.

2718821064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2718821064960 in words is "two trillion, seven hundred eighteen billion, eight hundred twenty-one million, sixty-four thousand, nine hundred sixty".