2726147884320 has 480 divisors, whose sum is σ = 11002024889856. Its totient is φ = 622747699200.

The previous prime is 2726147884307. The next prime is 2726147884321. The reversal of 2726147884320 is 234887416272.

2726147884320 is a `hidden beast` number, since 2 + 7 + 2 + 61 + 478 + 84 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2726147884321) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 169729090 + ... + 169745150.

Almost surely, 2^{2726147884320} is an apocalyptic number.

2726147884320 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 2726147884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501012444928).

2726147884320 is an abundant number, since it is smaller than the sum of its proper divisors (8275877005536).

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

2726147884320 is a wasteful number, since it uses less digits than its factorization.

2726147884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2726147884320 in words is "two trillion, seven hundred twenty-six billion, one hundred forty-seven million, eight hundred eighty-four thousand, three hundred twenty".