1972256256 has 160 divisors (see below), whose sum is σ = 6092824320. Its totient is φ = 628733952.

The previous prime is 1972256219. The next prime is 1972256263. The reversal of 1972256256 is 6526522791.

1972256256 is a `hidden beast` number, since 19 + 7 + 2 + 2 + 5 + 625 + 6 = 666.

It is a super-2 number, since 2×1972256256² = 7779589478662275072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314851 + ... + 321053.

It is an arithmetic number, because the mean of its divisors is an integer number (38080152).

Almost surely, 2^1972256256 is an apocalyptic number.

1972256256 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 1972256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046412160).

1972256256 is an abundant number, since it is smaller than the sum of its proper divisors (4120568064).

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

1972256256 is an equidigital number, since it uses as much as digits as its factorization.

1972256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6231 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1972256256 is about 44410.0918260703. The cubic root of 1972256256 is about 1254.0680808256.

The spelling of 1972256256 in words is "one billion, nine hundred seventy-two million, two hundred fifty-six thousand, two hundred fifty-six".