2730540833600 has 168 divisors, whose sum is σ = 6915181382208. Its totient is φ = 1060757913600.

The previous prime is 2730540833599. The next prime is 2730540833627. The reversal of 2730540833600 is 63380450372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7431824 + ... + 7790576.

Almost surely, 2^{2730540833600} is an apocalyptic number.

2730540833600 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 2730540833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457590691104).

2730540833600 is an abundant number, since it is smaller than the sum of its proper divisors (4184640548608).

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

2730540833600 is a wasteful number, since it uses less digits than its factorization.

2730540833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358913 (or 358898 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 2730540833600 in words is "two trillion, seven hundred thirty billion, five hundred forty million, eight hundred thirty-three thousand, six hundred".