2726922081024 has 162 divisors, whose sum is σ = 8164378398540. Its totient is φ = 908973467136.

The previous prime is 2726922081017. The next prime is 2726922081089. The reversal of 2726922081024 is 4201802296272.

2726922081024 is a `hidden beast` number, since 272 + 69 + 220 + 81 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×2726922081024² (a number of 26 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 867847 + ... + 2491385.

Almost surely, 2^{2726922081024} is an apocalyptic number.

2726922081024 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 2726922081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082189199270).

2726922081024 is an abundant number, since it is smaller than the sum of its proper divisors (5437456317516).

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

2726922081024 is an frugal number, since it uses more digits than its factorization.

2726922081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623579 (or 1623544 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2726922081024 in words is "two trillion, seven hundred twenty-six billion, nine hundred twenty-two million, eighty-one thousand, twenty-four".