2727763040 has 48 divisors (see below), whose sum is σ = 6467710032. Its totient is φ = 1087148544.

The previous prime is 2727763037. The next prime is 2727763069. The reversal of 2727763040 is 403677272.

It is a junction number, because it is equal to n+sod(n) for n = 2727762985 and 2727763003.

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 7 ways as a sum of consecutive naturals, for example, 13547 + ... + 75093.

It is an arithmetic number, because the mean of its divisors is an integer number (134743959).

Almost surely, 2^2727763040 is an apocalyptic number.

2727763040 is a gapful number since it is divisible by the number (20) 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 2727763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233855016).

2727763040 is an abundant number, since it is smaller than the sum of its proper divisors (3739946992).

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

2727763040 is a wasteful number, since it uses less digits than its factorization.

2727763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61839 (or 61831 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 38.

The square root of 2727763040 is about 52227.9909627012. The cubic root of 2727763040 is about 1397.2331476530.

The spelling of 2727763040 in words is "two billion, seven hundred twenty-seven million, seven hundred sixty-three thousand, forty".