256292021970 has 256 divisors, whose sum is σ = 739211443200. Its totient is φ = 62994032640.

The previous prime is 256292021969. The next prime is 256292021971. The reversal of 256292021970 is 79120292652.

256292021970 is a `hidden beast` number, since 2 + 5 + 629 + 2 + 0 + 2 + 19 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256292021969) and next prime (256292021971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256292021971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119038414 + ... + 119040566.

It is an arithmetic number, because the mean of its divisors is an integer number (2887544700).

Almost surely, 2^256292021970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256292021970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369605721600).

256292021970 is an abundant number, since it is smaller than the sum of its proper divisors (482919421230).

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

256292021970 is a wasteful number, since it uses less digits than its factorization.

256292021970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 256292021970 in words is "two hundred fifty-six billion, two hundred ninety-two million, twenty-one thousand, nine hundred seventy".