1966436240 has 80 divisors (see below), whose sum is σ = 4850046720. Its totient is φ = 738908160.

The previous prime is 1966436201. The next prime is 1966436261. The reversal of 1966436240 is 426346691.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976835 + ... + 978845.

It is an arithmetic number, because the mean of its divisors is an integer number (60625584).

Almost surely, 2^1966436240 is an apocalyptic number.

1966436240 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 1966436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425023360).

1966436240 is an abundant number, since it is smaller than the sum of its proper divisors (2883610480).

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

1966436240 is a wasteful number, since it uses less digits than its factorization.

1966436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 1966436240 is about 44344.5175867322. The cubic root of 1966436240 is about 1252.8333042574.

The spelling of 1966436240 in words is "one billion, nine hundred sixty-six million, four hundred thirty-six thousand, two hundred forty".