2729481670656 has 520 divisors, whose sum is σ = 8902277935320. Its totient is φ = 828240297984.

The previous prime is 2729481670633. The next prime is 2729481670753. The reversal of 2729481670656 is 6560761849272.

2729481670656 is a `hidden beast` number, since 2 + 7 + 29 + 481 + 6 + 70 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111609446400 + 2617872224256 = 334080^2 + 1617984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2729481670593 and 2729481670602.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314851090 + ... + 314859758.

Almost surely, 2^{2729481670656} is an apocalyptic number.

2729481670656 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 2729481670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451138967660).

2729481670656 is an abundant number, since it is smaller than the sum of its proper divisors (6172796264664).

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

2729481670656 is an equidigital number, since it uses as much as digits as its factorization.

2729481670656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2729481670656 in words is "two trillion, seven hundred twenty-nine billion, four hundred eighty-one million, six hundred seventy thousand, six hundred fifty-six".