2725785600 has 312 divisors, whose sum is σ = 9506802240. Its totient is φ = 687144960.

The previous prime is 2725785599. The next prime is 2725785607. The reversal of 2725785600 is 65875272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725785607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5836567 + ... + 5837033.

It is an arithmetic number, because the mean of its divisors is an integer number (30470520).

Almost surely, 2^2725785600 is an apocalyptic number.

2725785600 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 2725785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753401120).

2725785600 is an abundant number, since it is smaller than the sum of its proper divisors (6781016640).

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

2725785600 is a wasteful number, since it uses less digits than its factorization.

2725785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 2725785600 is about 52209.0566855981. The cubic root of 2725785600 is about 1396.8954334904.

The spelling of 2725785600 in words is "two billion, seven hundred twenty-five million, seven hundred eighty-five thousand, six hundred".