2723342427200 has 84 divisors (see below), whose sum is σ = 6705600762000. Its totient is φ = 1088609303040.

The previous prime is 2723342427199. The next prime is 2723342427329. The reversal of 2723342427200 is 27242433272.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1830659 + ... + 2966141.

It is an arithmetic number, because the mean of its divisors is an integer number (79828580500).

Almost surely, 2^{2723342427200} is an apocalyptic number.

2723342427200 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 2723342427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352800381000).

2723342427200 is an abundant number, since it is smaller than the sum of its proper divisors (3982258334800).

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

2723342427200 is a wasteful number, since it uses less digits than its factorization.

2723342427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137004 (or 1136989 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 38.

The spelling of 2723342427200 in words is "two trillion, seven hundred twenty-three billion, three hundred forty-two million, four hundred twenty-seven thousand, two hundred".