2745538560 has 288 divisors, whose sum is σ = 9832717440. Its totient is φ = 708526080.

The previous prime is 2745538559. The next prime is 2745538561. The reversal of 2745538560 is 658355472.

2745538560 is a `hidden beast` number, since 2 + 7 + 4 + 55 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2745538559) and next prime (2745538561).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745538561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88565745 + ... + 88565775.

It is an arithmetic number, because the mean of its divisors is an integer number (34141380).

Almost surely, 2^2745538560 is an apocalyptic number.

2745538560 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 2745538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916358720).

2745538560 is an abundant number, since it is smaller than the sum of its proper divisors (7087178880).

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

2745538560 is an frugal number, since it uses more digits than its factorization.

2745538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2745538560 is about 52397.8869802972. The cubic root of 2745538560 is about 1400.2616109750.

The spelling of 2745538560 in words is "two billion, seven hundred forty-five million, five hundred thirty-eight thousand, five hundred sixty".