1966945280 has 88 divisors (see below), whose sum is σ = 4923804672. Its totient is φ = 752525312.

The previous prime is 1966945273. The next prime is 1966945289. The reversal of 1966945280 is 825496691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966945289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109409 + ... + 126111.

Almost surely, 2^1966945280 is an apocalyptic number.

1966945280 is a gapful number since it is divisible by the number (10) 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 1966945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461902336).

1966945280 is an abundant number, since it is smaller than the sum of its proper divisors (2956859392).

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

1966945280 is a wasteful number, since it uses less digits than its factorization.

1966945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16751 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 1966945280 is about 44350.2568200005. The cubic root of 1966945280 is about 1252.9413995061.

The spelling of 1966945280 in words is "one billion, nine hundred sixty-six million, nine hundred forty-five thousand, two hundred eighty".