2731409249280 has 176 divisors, whose sum is σ = 8826310933440. Its totient is φ = 720866377728.

The previous prime is 2731409249201. The next prime is 2731409249299. The reversal of 2731409249280 is 829429041372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573291 + ... + 2406549.

It is an arithmetic number, because the mean of its divisors is an integer number (50149493940).

Almost surely, 2^{2731409249280} is an apocalyptic number.

2731409249280 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 2731409249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413155466720).

2731409249280 is an abundant number, since it is smaller than the sum of its proper divisors (6094901684160).

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

2731409249280 is a wasteful number, since it uses less digits than its factorization.

2731409249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833384 (or 1833366 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 2731409249280 in words is "two trillion, seven hundred thirty-one billion, four hundred nine million, two hundred forty-nine thousand, two hundred eighty".