2730367180800 has 1260 divisors, whose sum is σ = 11769408272160. Its totient is φ = 623898132480.

The previous prime is 2730367180781. The next prime is 2730367180861. The reversal of 2730367180800 is 80817630372.

2730367180800 is a `hidden beast` number, since 2 + 7 + 30 + 367 + 180 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812849521 + ... + 812852879.

It is an arithmetic number, because the mean of its divisors is an integer number (9340800216).

Almost surely, 2^{2730367180800} is an apocalyptic number.

2730367180800 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 2730367180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884704136080).

2730367180800 is an abundant number, since it is smaller than the sum of its proper divisors (9039041091360).

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

2730367180800 is an equidigital number, since it uses as much as digits as its factorization.

2730367180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2730367180800 in words is "two trillion, seven hundred thirty billion, three hundred sixty-seven million, one hundred eighty thousand, eight hundred".