2729855856 has 480 divisors, whose sum is σ = 9626050560. Its totient is φ = 658409472.

The previous prime is 2729855851. The next prime is 2729855873. The reversal of 2729855856 is 6585589272.

It is a super-2 number, since 2×2729855856² = 14904225989074985472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2729855796 and 2729855805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729855851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21494865 + ... + 21494991.

It is an arithmetic number, because the mean of its divisors is an integer number (20054272).

Almost surely, 2^2729855856 is an apocalyptic number.

2729855856 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 2729855856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813025280).

2729855856 is an abundant number, since it is smaller than the sum of its proper divisors (6896194704).

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

2729855856 is a wasteful number, since it uses less digits than its factorization.

2729855856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 57.

The square root of 2729855856 is about 52248.0225080337. The cubic root of 2729855856 is about 1397.5903884070.

The spelling of 2729855856 in words is "two billion, seven hundred twenty-nine million, eight hundred fifty-five thousand, eight hundred fifty-six".