2729673632 has 48 divisors (see below), whose sum is σ = 6179527872. Its totient is φ = 1162667520.

The previous prime is 2729673619. The next prime is 2729673673. The reversal of 2729673632 is 2363769272.

It is a super-2 number, since 2×2729673632² = 14902236274472142848, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 869 + ... + 73892.

It is an arithmetic number, because the mean of its divisors is an integer number (128740164).

Almost surely, 2^2729673632 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 2729673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089763936).

2729673632 is an abundant number, since it is smaller than the sum of its proper divisors (3449854240).

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

2729673632 is a wasteful number, since it uses less digits than its factorization.

2729673632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74941 (or 74933 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 47.

The square root of 2729673632 is about 52246.2786425981. The cubic root of 2729673632 is about 1397.5592902842.

The spelling of 2729673632 in words is "two billion, seven hundred twenty-nine million, six hundred seventy-three thousand, six hundred thirty-two".