2057127006 has 64 divisors (see below), whose sum is σ = 4706968320. Its totient is φ = 593591040.

The previous prime is 2057126959. The next prime is 2057127013. The reversal of 2057127006 is 6007217502.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132361 + ... + 147083.

It is an arithmetic number, because the mean of its divisors is an integer number (73546380).

Almost surely, 2^2057127006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057127006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353484160).

2057127006 is an abundant number, since it is smaller than the sum of its proper divisors (2649841314).

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

2057127006 is a wasteful number, since it uses less digits than its factorization.

2057127006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 2057127006 is about 45355.5620183457. The cubic root of 2057127006 is about 1271.8045329266.

The spelling of 2057127006 in words is "two billion, fifty-seven million, one hundred twenty-seven thousand, six".