2720068560 has 320 divisors, whose sum is σ = 10285056000. Its totient is φ = 655280640.

The previous prime is 2720068537. The next prime is 2720068583. The reversal of 2720068560 is 658600272.

It is an interprime number because it is at equal distance from previous prime (2720068537) and next prime (2720068583).

It is a super-2 number, since 2×2720068560² = 14797545942200947200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5678401 + ... + 5678879.

It is an arithmetic number, because the mean of its divisors is an integer number (32140800).

Almost surely, 2^2720068560 is an apocalyptic number.

2720068560 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 2720068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528000).

2720068560 is an abundant number, since it is smaller than the sum of its proper divisors (7564987440).

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

2720068560 is a wasteful number, since it uses less digits than its factorization.

2720068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2720068560 is about 52154.2765264748. The cubic root of 2720068560 is about 1395.9181376341.

The spelling of 2720068560 in words is "two billion, seven hundred twenty million, sixty-eight thousand, five hundred sixty".