2057033727 has 48 divisors (see below), whose sum is σ = 3729922560. Its totient is φ = 1065151296.

The previous prime is 2057033707. The next prime is 2057033831. The reversal of 2057033727 is 7273307502.

It is not a de Polignac number, because 2057033727 - 2⁷ = 2057033599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2057033691 and 2057033700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057033707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9828 + ... + 64889.

It is an arithmetic number, because the mean of its divisors is an integer number (77706720).

Almost surely, 2^2057033727 is an apocalyptic number.

2057033727 is a deficient number, since it is larger than the sum of its proper divisors (1672888833).

2057033727 is a wasteful number, since it uses less digits than its factorization.

2057033727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74772 (or 74769 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 2057033727 is about 45354.5336984077. The cubic root of 2057033727 is about 1271.7853096040.

The spelling of 2057033727 in words is "two billion, fifty-seven million, thirty-three thousand, seven hundred twenty-seven".