2057735142 has 48 divisors (see below), whose sum is σ = 4577489280. Its totient is φ = 667670400.

The previous prime is 2057735047. The next prime is 2057735149. The reversal of 2057735142 is 2415377502.

2057735142 is a `hidden beast` number, since 20 + 57 + 73 + 514 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2057735097 and 2057735106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057735149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350592 + ... + 356412.

It is an arithmetic number, because the mean of its divisors is an integer number (95364360).

Almost surely, 2^2057735142 is an apocalyptic number.

2057735142 is an abundant number, since it is smaller than the sum of its proper divisors (2519754138).

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

2057735142 is a wasteful number, since it uses less digits than its factorization.

2057735142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2057735142 is about 45362.2656180222. The cubic root of 2057735142 is about 1271.9298458698.

The spelling of 2057735142 in words is "two billion, fifty-seven million, seven hundred thirty-five thousand, one hundred forty-two".