2725227360 has 288 divisors, whose sum is σ = 9840579840. Its totient is φ = 685670400.

The previous prime is 2725227331. The next prime is 2725227377. The reversal of 2725227360 is 637225272.

2725227360 is a `hidden beast` number, since 2 + 7 + 2 + 522 + 73 + 60 = 666.

2725227360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829496 + ... + 1830984.

It is an arithmetic number, because the mean of its divisors is an integer number (34168680).

Almost surely, 2^2725227360 is an apocalyptic number.

2725227360 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 2725227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920289920).

2725227360 is an abundant number, since it is smaller than the sum of its proper divisors (7115352480).

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

2725227360 is a wasteful number, since it uses less digits than its factorization.

2725227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2725227360 is about 52203.7102129724. The cubic root of 2725227360 is about 1396.8000657369.

The spelling of 2725227360 in words is "two billion, seven hundred twenty-five million, two hundred twenty-seven thousand, three hundred sixty".