2725331751744 has 448 divisors, whose sum is σ = 8667860459520. Its totient is φ = 739429171200.

The previous prime is 2725331751683. The next prime is 2725331751749. The reversal of 2725331751744 is 4471571335272.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725331751749) 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, 955919919 + ... + 955922769.

Almost surely, 2^{2725331751744} is an apocalyptic number.

2725331751744 is a gapful number since it is divisible by the number (24) 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 2725331751744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333930229760).

2725331751744 is an abundant number, since it is smaller than the sum of its proper divisors (5942528707776).

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

2725331751744 is a wasteful number, since it uses less digits than its factorization.

2725331751744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3356 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 51.

The spelling of 2725331751744 in words is "two trillion, seven hundred twenty-five billion, three hundred thirty-one million, seven hundred fifty-one thousand, seven hundred forty-four".