2720563200 has 480 divisors, whose sum is σ = 10324514970. Its totient is φ = 707788800.

The previous prime is 2720563187. The next prime is 2720563201. The reversal of 2720563200 is 23650272.

2720563200 is a `hidden beast` number, since 2 + 7 + 20 + 5 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1275346944 + 1445216256 = 35712^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2720563201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355180 + ... + 66355220.

Almost surely, 2^2720563200 is an apocalyptic number.

2720563200 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 2720563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162257485).

2720563200 is an abundant number, since it is smaller than the sum of its proper divisors (7603951770).

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

2720563200 is an frugal number, since it uses more digits than its factorization.

2720563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2720563200 is about 52159.0183956715. The cubic root of 2720563200 is about 1396.0027476458.

The spelling of 2720563200 in words is "two billion, seven hundred twenty million, five hundred sixty-three thousand, two hundred".