2730256268520 has 512 divisors, whose sum is σ = 9635351500800. Its totient is φ = 612483379200.

The previous prime is 2730256268497. The next prime is 2730256268569. The reversal of 2730256268520 is 258626520372.

It is a self number, because there is not a number n which added to its sum of digits gives 2730256268520.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94881735 + ... + 94910505.

It is an arithmetic number, because the mean of its divisors is an integer number (18819045900).

Almost surely, 2^{2730256268520} is an apocalyptic number.

2730256268520 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 2730256268520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817675750400).

2730256268520 is an abundant number, since it is smaller than the sum of its proper divisors (6905095232280).

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

2730256268520 is a wasteful number, since it uses less digits than its factorization.

2730256268520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28929 (or 28925 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 2730256268520 in words is "two trillion, seven hundred thirty billion, two hundred fifty-six million, two hundred sixty-eight thousand, five hundred twenty".