2577057752 has 16 divisors (see below), whose sum is σ = 4934792160. Its totient is φ = 1261113184.

The previous prime is 2577057751. The next prime is 2577057779. The reversal of 2577057752 is 2577507752.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 2577057697 and 2577057706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577057751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3426563 + ... + 3427314.

It is an arithmetic number, because the mean of its divisors is an integer number (308424510).

Almost surely, 2^2577057752 is an apocalyptic number.

It is an amenable number.

2577057752 is a deficient number, since it is larger than the sum of its proper divisors (2357734408).

2577057752 is a wasteful number, since it uses less digits than its factorization.

2577057752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853930 (or 6853926 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 47.

The square root of 2577057752 is about 50764.7294093054. The cubic root of 2577057752 is about 1371.0124031428.

The spelling of 2577057752 in words is "two billion, five hundred seventy-seven million, fifty-seven thousand, seven hundred fifty-two".