2727968256 has 360 divisors, whose sum is σ = 8878199616. Its totient is φ = 805109760.

The previous prime is 2727968237. The next prime is 2727968261. The reversal of 2727968256 is 6528697272.

Its product of digits (5080320) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 24141256 + ... + 24141368.

Almost surely, 2^2727968256 is an apocalyptic number.

2727968256 is a gapful number since it is divisible by the number (26) 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 2727968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439099808).

2727968256 is an abundant number, since it is smaller than the sum of its proper divisors (6150231360).

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

2727968256 is a wasteful number, since it uses less digits than its factorization.

2727968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 2727968256 is about 52229.9555427726. The cubic root of 2727968256 is about 1397.2681858147.

The spelling of 2727968256 in words is "two billion, seven hundred twenty-seven million, nine hundred sixty-eight thousand, two hundred fifty-six".