2721068064 has 144 divisors (see below), whose sum is σ = 9090978624. Its totient is φ = 761126400.

The previous prime is 2721068039. The next prime is 2721068069. The reversal of 2721068064 is 4608601272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2721068064² = 14808422817841416192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2721068069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8149 + ... + 74219.

It is an arithmetic number, because the mean of its divisors is an integer number (63131796).

Almost surely, 2^2721068064 is an apocalyptic number.

2721068064 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 2721068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545489312).

2721068064 is an abundant number, since it is smaller than the sum of its proper divisors (6369910560).

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

2721068064 is a wasteful number, since it uses less digits than its factorization.

2721068064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66111 (or 66100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2721068064 is about 52163.8578327945. The cubic root of 2721068064 is about 1396.0890959356.

The spelling of 2721068064 in words is "two billion, seven hundred twenty-one million, sixty-eight thousand, sixty-four".