2730875212800 has 3564 divisors, whose sum is σ = 12934335732864. Its totient is φ = 568531353600.

The previous prime is 2730875212777. The next prime is 2730875212801. The reversal of 2730875212800 is 82125780372.

2730875212800 is a `hidden beast` number, since 27 + 3 + 0 + 87 + 521 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730875212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 88092748785 + ... + 88092748815.

Almost surely, 2^{2730875212800} is an apocalyptic number.

2730875212800 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 2730875212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467167866432).

2730875212800 is an abundant number, since it is smaller than the sum of its proper divisors (10203460520064).

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

2730875212800 is a wasteful number, since it uses less digits than its factorization.

2730875212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2730875212800 in words is "two trillion, seven hundred thirty billion, eight hundred seventy-five million, two hundred twelve thousand, eight hundred".