2720705760 has 576 divisors, whose sum is σ = 10567065600. Its totient is φ = 658409472.

The previous prime is 2720705759. The next prime is 2720705777. The reversal of 2720705760 is 675070272.

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 95 ways as a sum of consecutive naturals, for example, 21422817 + ... + 21422943.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^2720705760 is an apocalyptic number.

2720705760 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 2720705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283532800).

2720705760 is an abundant number, since it is smaller than the sum of its proper divisors (7846359840).

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

2720705760 is a wasteful number, since it uses less digits than its factorization.

2720705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2720705760 is about 52160.3849679045. The cubic root of 2720705760 is about 1396.0271311602.

The spelling of 2720705760 in words is "two billion, seven hundred twenty million, seven hundred five thousand, seven hundred sixty".