2051785728 has 220 divisors, whose sum is σ = 6345740940. Its totient is φ = 659570688.

The previous prime is 2051785663. The next prime is 2051785741. The reversal of 2051785728 is 8275871502.

2051785728 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 78 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 517653504 + 1534132224 = 22752^2 + 39168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2404950 + ... + 2405802.

It is an arithmetic number, because the mean of its divisors is an integer number (28844277).

Almost surely, 2^2051785728 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 2051785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172870470).

2051785728 is an abundant number, since it is smaller than the sum of its proper divisors (4293955212).

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

2051785728 is an equidigital number, since it uses as much as digits as its factorization.

2051785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2051785728 is about 45296.6414649033. The cubic root of 2051785728 is about 1270.7028428211.

The spelling of 2051785728 in words is "two billion, fifty-one million, seven hundred eighty-five thousand, seven hundred twenty-eight".