2725281567840 has 384 divisors, whose sum is σ = 9550866124800. Its totient is φ = 648678481920.

The previous prime is 2725281567839. The next prime is 2725281567851. The reversal of 2725281567840 is 487651825272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276420831 + ... + 276430689.

It is an arithmetic number, because the mean of its divisors is an integer number (24872047200).

Almost surely, 2^{2725281567840} is an apocalyptic number.

2725281567840 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 2725281567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775433062400).

2725281567840 is an abundant number, since it is smaller than the sum of its proper divisors (6825584556960).

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

2725281567840 is a wasteful number, since it uses less digits than its factorization.

2725281567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11350 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 2725281567840 in words is "two trillion, seven hundred twenty-five billion, two hundred eighty-one million, five hundred sixty-seven thousand, eight hundred forty".