1992944256 has 64 divisors (see below), whose sum is σ = 5305126080. Its totient is φ = 662888448.

The previous prime is 1992944207. The next prime is 1992944269. The reversal of 1992944256 is 6524492991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1992944199 and 1992944208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181680 + ... + 192336.

It is an arithmetic number, because the mean of its divisors is an integer number (82892595).

Almost surely, 2^1992944256 is an apocalyptic number.

1992944256 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 1992944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652563040).

1992944256 is an abundant number, since it is smaller than the sum of its proper divisors (3312181824).

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

1992944256 is a wasteful number, since it uses less digits than its factorization.

1992944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11149 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 1992944256 is about 44642.4042363312. The cubic root of 1992944256 is about 1258.4376907598.

The spelling of 1992944256 in words is "one billion, nine hundred ninety-two million, nine hundred forty-four thousand, two hundred fifty-six".