2729218786560 has 1152 divisors, whose sum is σ = 11609200512000. Its totient is φ = 594059526144.

The previous prime is 2729218786519. The next prime is 2729218786597. The reversal of 2729218786560 is 656878129272.

2729218786560 is a `hidden beast` number, since 27 + 29 + 21 + 8 + 7 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 37386558684 + ... + 37386558756.

It is an arithmetic number, because the mean of its divisors is an integer number (10077431000).

Almost surely, 2^{2729218786560} is an apocalyptic number.

2729218786560 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 2729218786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804600256000).

2729218786560 is an abundant number, since it is smaller than the sum of its proper divisors (8879981725440).

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

2729218786560 is an frugal number, since it uses more digits than its factorization.

2729218786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2729218786560 in words is "two trillion, seven hundred twenty-nine billion, two hundred eighteen million, seven hundred eighty-six thousand, five hundred sixty".