2729691648 has 120 divisors (see below), whose sum is σ = 8027435988. Its totient is φ = 892649472.

The previous prime is 2729691641. The next prime is 2729691697. The reversal of 2729691648 is 8461969272.

It can be written as a sum of positive squares in 2 ways, for example, as 2449062144 + 280629504 = 49488^2 + 16752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2729691594 and 2729691603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729691641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238636 + ... + 249812.

Almost surely, 2^2729691648 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 2729691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013717994).

2729691648 is an abundant number, since it is smaller than the sum of its proper divisors (5297744340).

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

2729691648 is a wasteful number, since it uses less digits than its factorization.

2729691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254 (or 11235 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2729691648 is about 52246.4510565072. The cubic root of 2729691648 is about 1397.5623649341.

The spelling of 2729691648 in words is "two billion, seven hundred twenty-nine million, six hundred ninety-one thousand, six hundred forty-eight".