2727307040 has 48 divisors (see below), whose sum is σ = 6507096120. Its totient is φ = 1080115200.

The previous prime is 2727307031. The next prime is 2727307049. The reversal of 2727307040 is 407037272.

It is an interprime number because it is at equal distance from previous prime (2727307031) and next prime (2727307049).

It can be written as a sum of positive squares in 4 ways, for example, as 2692779664 + 34527376 = 51892^2 + 5876^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2727306988 and 2727307006.

It is not an unprimeable number, because it can be changed into a prime (2727307049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68225 + ... + 100544.

Almost surely, 2^2727307040 is an apocalyptic number.

2727307040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2727307040 is an abundant number, since it is smaller than the sum of its proper divisors (3779789080).

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

2727307040 is a wasteful number, since it uses less digits than its factorization.

2727307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168885 (or 168877 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 2727307040 is about 52223.6253050284. The cubic root of 2727307040 is about 1397.1552848508.

The spelling of 2727307040 in words is "two billion, seven hundred twenty-seven million, three hundred seven thousand, forty".