1970528256 has 224 divisors, whose sum is σ = 5976518400. Its totient is φ = 641433600.

The previous prime is 1970528177. The next prime is 1970528267. The reversal of 1970528256 is 6528250791.

1970528256 is a `hidden beast` number, since 1 + 9 + 70 + 528 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13049781 + ... + 13049931.

Almost surely, 2^1970528256 is an apocalyptic number.

1970528256 is a gapful number since it is divisible by the number (16) 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 1970528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988259200).

1970528256 is an abundant number, since it is smaller than the sum of its proper divisors (4005990144).

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

1970528256 is an equidigital number, since it uses as much as digits as its factorization.

1970528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1970528256 is about 44390.6325253426. The cubic root of 1970528256 is about 1253.7017215980.

It can be divided in two parts, 19705 and 28256, that added together give a square (47961 = 219²).

The spelling of 1970528256 in words is "one billion, nine hundred seventy million, five hundred twenty-eight thousand, two hundred fifty-six".