2730456960 has 768 divisors, whose sum is σ = 11564743680. Its totient is φ = 535265280.

The previous prime is 2730456941. The next prime is 2730457031. The reversal of 2730456960 is 696540372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37403484 + ... + 37403556.

It is an arithmetic number, because the mean of its divisors is an integer number (15058260).

Almost surely, 2^2730456960 is an apocalyptic number.

2730456960 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 2730456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782371840).

2730456960 is an abundant number, since it is smaller than the sum of its proper divisors (8834286720).

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

2730456960 is a wasteful number, since it uses less digits than its factorization.

2730456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2730456960 is about 52253.7746005013. The cubic root of 2730456960 is about 1397.6929622622.

The spelling of 2730456960 in words is "two billion, seven hundred thirty million, four hundred fifty-six thousand, nine hundred sixty".