2721519144960 has 1872 divisors, whose sum is σ = 11540908786176. Its totient is φ = 544997376000.

The previous prime is 2721519144947. The next prime is 2721519144961. The reversal of 2721519144960 is 694419151272.

It is not an unprimeable number, because it can be changed into a prime (2721519144961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11292610440 + ... + 11292610680.

Almost surely, 2^{2721519144960} is an apocalyptic number.

2721519144960 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 2721519144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770454393088).

2721519144960 is an abundant number, since it is smaller than the sum of its proper divisors (8819389641216).

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

2721519144960 is a wasteful number, since it uses less digits than its factorization.

2721519144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 2721519144960 in words is "two trillion, seven hundred twenty-one billion, five hundred nineteen million, one hundred forty-four thousand, nine hundred sixty".