2730742560 has 648 divisors, whose sum is σ = 11789324820. Its totient is φ = 573640704.

The previous prime is 2730742559. The next prime is 2730742571. The reversal of 2730742560 is 652470372.

It is a happy number.

2730742560 is a `hidden beast` number, since 27 + 3 + 0 + 74 + 2 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 830131344 + 1900611216 = 28812^2 + 43596^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 11924526 + ... + 11924754.

Almost surely, 2^2730742560 is an apocalyptic number.

2730742560 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 2730742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894662410).

2730742560 is an abundant number, since it is smaller than the sum of its proper divisors (9058582260).

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

2730742560 is a wasteful number, since it uses less digits than its factorization.

2730742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

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

The square root of 2730742560 is about 52256.5073459756. The cubic root of 2730742560 is about 1397.7416924685.

The spelling of 2730742560 in words is "two billion, seven hundred thirty million, seven hundred forty-two thousand, five hundred sixty".