2057682528 has 120 divisors (see below), whose sum is σ = 6601822920. Its totient is φ = 623531520.

The previous prime is 2057682503. The next prime is 2057682541. The reversal of 2057682528 is 8252867502.

2057682528 is a `hidden beast` number, since 20 + 576 + 8 + 2 + 52 + 8 = 666.

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 19 ways as a sum of consecutive naturals, for example, 7573 + ... + 64596.

It is an arithmetic number, because the mean of its divisors is an integer number (55015191).

Almost surely, 2^2057682528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057682528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300911460).

2057682528 is an abundant number, since it is smaller than the sum of its proper divisors (4544140392).

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

2057682528 is a wasteful number, since it uses less digits than its factorization.

2057682528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72202 (or 72185 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2057682528 is about 45361.6856829638. The cubic root of 2057682528 is about 1271.9190051667.

The spelling of 2057682528 in words is "two billion, fifty-seven million, six hundred eighty-two thousand, five hundred twenty-eight".