2721640281984 has 384 divisors, whose sum is σ = 8733897900000. Its totient is φ = 807734624256.

The previous prime is 2721640281959. The next prime is 2721640282001. The reversal of 2721640281984 is 4891820461272.

2721640281984 is a `hidden beast` number, since 2 + 7 + 216 + 402 + 8 + 19 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2721640281984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533757067 + ... + 533762165.

Almost surely, 2^{2721640281984} is an apocalyptic number.

2721640281984 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 2721640281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366948950000).

2721640281984 is an abundant number, since it is smaller than the sum of its proper divisors (6012257618016).

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

2721640281984 is a wasteful number, since it uses less digits than its factorization.

2721640281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2721640281984 in words is "two trillion, seven hundred twenty-one billion, six hundred forty million, two hundred eighty-one thousand, nine hundred eighty-four".