2725600096 has 48 divisors (see below), whose sum is σ = 5626188288. Its totient is φ = 1297296000.

The previous prime is 2725600081. The next prime is 2725600183. The reversal of 2725600096 is 6900065272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146521 + ... + 164071.

It is an arithmetic number, because the mean of its divisors is an integer number (117212256).

Almost surely, 2^2725600096 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 2725600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813094144).

2725600096 is an abundant number, since it is smaller than the sum of its proper divisors (2900588192).

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

2725600096 is a wasteful number, since it uses less digits than its factorization.

2725600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795 (or 17787 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 2725600096 is about 52207.2801053646. The cubic root of 2725600096 is about 1396.8637440857.

The spelling of 2725600096 in words is "two billion, seven hundred twenty-five million, six hundred thousand, ninety-six".