2557780506 has 24 divisors (see below), whose sum is σ = 5550922260. Its totient is φ = 851198976.

The previous prime is 2557780493. The next prime is 2557780549. The reversal of 2557780506 is 6050877552.

2557780506 is a `hidden beast` number, since 25 + 57 + 78 + 0 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2484524025 + 73256481 = 49845^2 + 8559^2 .

It is a super-2 number, since 2×2557780506² = 13084482233747232072, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104871 + ... + 126938.

Almost surely, 2^2557780506 is an apocalyptic number.

2557780506 is an abundant number, since it is smaller than the sum of its proper divisors (2993141754).

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

2557780506 is a wasteful number, since it uses less digits than its factorization.

2557780506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232430 (or 232427 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 2557780506 is about 50574.5045057290. The cubic root of 2557780506 is about 1367.5853012262.

The spelling of 2557780506 in words is "two billion, five hundred fifty-seven million, seven hundred eighty thousand, five hundred six".