1966240224 has 192 divisors, whose sum is σ = 6376366080. Its totient is φ = 585377280.

The previous prime is 1966240219. The next prime is 1966240277. The reversal of 1966240224 is 4220426691.

1966240224 is a `hidden beast` number, since 1 + 9 + 6 + 624 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×1966240224² = 7732201236951140352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345369 + ... + 351015.

It is an arithmetic number, because the mean of its divisors is an integer number (33210240).

Almost surely, 2^1966240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188183040).

1966240224 is an abundant number, since it is smaller than the sum of its proper divisors (4410125856).

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

1966240224 is a wasteful number, since it uses less digits than its factorization.

1966240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1966240224 is about 44342.3073824536. The cubic root of 1966240224 is about 1252.7916750522.

The spelling of 1966240224 in words is "one billion, nine hundred sixty-six million, two hundred forty thousand, two hundred twenty-four".