2730485509920 has 576 divisors, whose sum is σ = 11702097993600. Its totient is φ = 591262156800.

The previous prime is 2730485509889. The next prime is 2730485509937. The reversal of 2730485509920 is 299055840372.

2730485509920 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 48 + 5 + 509 + 92 + 0 = 666.

It is a super-2 number, since 2×2730485509920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3682470 + ... + 4361370.

It is an arithmetic number, because the mean of its divisors is an integer number (20316142350).

Almost surely, 2^{2730485509920} is an apocalyptic number.

2730485509920 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 2730485509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851048996800).

2730485509920 is an abundant number, since it is smaller than the sum of its proper divisors (8971612483680).

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

2730485509920 is a wasteful number, since it uses less digits than its factorization.

2730485509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678958 (or 678937 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2730485509920 in words is "two trillion, seven hundred thirty billion, four hundred eighty-five million, five hundred nine thousand, nine hundred twenty".