2741298584200 has 192 divisors, whose sum is σ = 7106475424320. Its totient is φ = 983173593600.

The previous prime is 2741298584161. The next prime is 2741298584201. The reversal of 2741298584200 is 24858921472.

It is not an unprimeable number, because it can be changed into a prime (2741298584201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19362067 + ... + 19503133.

It is an arithmetic number, because the mean of its divisors is an integer number (37012892835).

Almost surely, 2^{2741298584200} is an apocalyptic number.

2741298584200 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 2741298584200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553237712160).

2741298584200 is an abundant number, since it is smaller than the sum of its proper divisors (4365176840120).

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

2741298584200 is a wasteful number, since it uses less digits than its factorization.

2741298584200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141189 (or 141158 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 2741298584200 in words is "two trillion, seven hundred forty-one billion, two hundred ninety-eight million, five hundred eighty-four thousand, two hundred".