2725446746200 has 96 divisors (see below), whose sum is σ = 6428862812160. Its totient is φ = 1074430224000.

The previous prime is 2725446746159. The next prime is 2725446746371. The reversal of 2725446746200 is 26476445272.

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, 3480099 + ... + 4190701.

It is an arithmetic number, because the mean of its divisors is an integer number (66967320960).

Almost surely, 2^{2725446746200} is an apocalyptic number.

2725446746200 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 2725446746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214431406080).

2725446746200 is an abundant number, since it is smaller than the sum of its proper divisors (3703416065960).

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

2725446746200 is a wasteful number, since it uses less digits than its factorization.

2725446746200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710897 (or 710888 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 49.

The spelling of 2725446746200 in words is "two trillion, seven hundred twenty-five billion, four hundred forty-six million, seven hundred forty-six thousand, two hundred".