2727890725248 has 1536 divisors, whose sum is σ = 9719566617600. Its totient is φ = 746695065600.

The previous prime is 2727890725229. The next prime is 2727890725291. The reversal of 2727890725248 is 8425270987272.

2727890725248 is a `hidden beast` number, since 2 + 7 + 27 + 89 + 0 + 7 + 2 + 524 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40714786911 + ... + 40714786977.

It is an arithmetic number, because the mean of its divisors is an integer number (6327842850).

Almost surely, 2^{2727890725248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2727890725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859783308800).

2727890725248 is an abundant number, since it is smaller than the sum of its proper divisors (6991675892352).

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

2727890725248 is a wasteful number, since it uses less digits than its factorization.

2727890725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2727890725248 in words is "two trillion, seven hundred twenty-seven billion, eight hundred ninety million, seven hundred twenty-five thousand, two hundred forty-eight".