2730075840 has 448 divisors, whose sum is σ = 10077419520. Its totient is φ = 703945728.

The previous prime is 2730075839. The next prime is 2730075847. The reversal of 2730075840 is 485700372.

2730075840 is a `hidden beast` number, since 2 + 73 + 0 + 0 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2730075795 and 2730075804.

It is not an unprimeable number, because it can be changed into a prime (2730075847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32892439 + ... + 32892521.

It is an arithmetic number, because the mean of its divisors is an integer number (22494240).

Almost surely, 2^2730075840 is an apocalyptic number.

2730075840 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 2730075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038709760).

2730075840 is an abundant number, since it is smaller than the sum of its proper divisors (7347343680).

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

2730075840 is an frugal number, since it uses more digits than its factorization.

2730075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2730075840 is about 52250.1276553465. The cubic root of 2730075840 is about 1397.6279287610.

The spelling of 2730075840 in words is "two billion, seven hundred thirty million, seventy-five thousand, eight hundred forty".