2725779760 has 160 divisors (see below), whose sum is σ = 7114044672. Its totient is φ = 962903040.

The previous prime is 2725779757. The next prime is 2725779773. The reversal of 2725779760 is 679775272.

It is a junction number, because it is equal to n+sod(n) for n = 2725779698 and 2725779707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893402 + ... + 4893958.

Almost surely, 2^2725779760 is an apocalyptic number.

2725779760 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 2725779760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557022336).

2725779760 is an abundant number, since it is smaller than the sum of its proper divisors (4388264912).

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

2725779760 is a wasteful number, since it uses less digits than its factorization.

2725779760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 52.

The square root of 2725779760 is about 52209.0007565745. Note that the first 3 decimals coincide. The cubic root of 2725779760 is about 1396.8944358728.

The spelling of 2725779760 in words is "two billion, seven hundred twenty-five million, seven hundred seventy-nine thousand, seven hundred sixty".