2725913974784 has 768 divisors, whose sum is σ = 7692823756800. Its totient is φ = 931361587200.

The previous prime is 2725913974727. The next prime is 2725913974829. The reversal of 2725913974784 is 4874793195272.

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, 3749537429 + ... + 3749538155.

It is an arithmetic number, because the mean of its divisors is an integer number (10016697600).

Almost surely, 2^{2725913974784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725913974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846411878400).

2725913974784 is an abundant number, since it is smaller than the sum of its proper divisors (4966909782016).

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

2725913974784 is a wasteful number, since it uses less digits than its factorization.

2725913974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 68.

The spelling of 2725913974784 in words is "two trillion, seven hundred twenty-five billion, nine hundred thirteen million, nine hundred seventy-four thousand, seven hundred eighty-four".