2056386528 has 336 divisors, whose sum is σ = 7106248800. Its totient is φ = 585252864.

The previous prime is 2056386523. The next prime is 2056386557. The reversal of 2056386528 is 8256836502.

2056386528 is a `hidden beast` number, since 2 + 0 + 5 + 638 + 6 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056386523) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8001376 + ... + 8001632.

It is an arithmetic number, because the mean of its divisors is an integer number (21149550).

Almost surely, 2^2056386528 is an apocalyptic number.

2056386528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553124400).

2056386528 is an abundant number, since it is smaller than the sum of its proper divisors (5049862272).

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

2056386528 is an frugal number, since it uses more digits than its factorization.

2056386528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2056386528 is about 45347.3982495137. The cubic root of 2056386528 is about 1271.6519161472.

The spelling of 2056386528 in words is "two billion, fifty-six million, three hundred eighty-six thousand, five hundred twenty-eight".