2577761056 has 72 divisors (see below), whose sum is σ = 5547063060. Its totient is φ = 1178551296.

The previous prime is 2577761009. The next prime is 2577761059. The reversal of 2577761056 is 6501677752.

It can be written as a sum of positive squares in 6 ways, for example, as 666672400 + 1911088656 = 25820^2 + 43716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2577760997 and 2577761015.

It is not an unprimeable number, because it can be changed into a prime (2577761059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587286 + ... + 591658.

Almost surely, 2^2577761056 is an apocalyptic number.

2577761056 is a gapful number since it is divisible by the number (26) 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 2577761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773531530).

2577761056 is an abundant number, since it is smaller than the sum of its proper divisors (2969302004).

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

2577761056 is a wasteful number, since it uses less digits than its factorization.

2577761056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The square root of 2577761056 is about 50771.6560297180. The cubic root of 2577761056 is about 1371.1371126496.

The spelling of 2577761056 in words is "two billion, five hundred seventy-seven million, seven hundred sixty-one thousand, fifty-six".