2741280882000 has 320 divisors, whose sum is σ = 8988534696960. Its totient is φ = 718628352000.

The previous prime is 2741280881959. The next prime is 2741280882001. The reversal of 2741280882000 is 2880821472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741280882001) 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 63 ways as a sum of consecutive naturals, for example, 110429590 + ... + 110454410.

It is an arithmetic number, because the mean of its divisors is an integer number (28089170928).

Almost surely, 2^{2741280882000} is an apocalyptic number.

2741280882000 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 2741280882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494267348480).

2741280882000 is an abundant number, since it is smaller than the sum of its proper divisors (6247253814960).

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

2741280882000 is a wasteful number, since it uses less digits than its factorization.

2741280882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25143 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 2741280882000 in words is "two trillion, seven hundred forty-one billion, two hundred eighty million, eight hundred eighty-two thousand".