1966250286 has 384 divisors, whose sum is σ = 6113802240. Its totient is φ = 440294400.

The previous prime is 1966250267. The next prime is 1966250291. The reversal of 1966250286 is 6820526691.

1966250286 is a `hidden beast` number, since 1 + 9 + 6 + 62 + 502 + 86 = 666.

It is a super-4 number, since 4×1966250286⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27693631 + ... + 27693701.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^1966250286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966250286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056901120).

1966250286 is an abundant number, since it is smaller than the sum of its proper divisors (4147551954).

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

1966250286 is a wasteful number, since it uses less digits than its factorization.

1966250286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1966250286 is about 44342.4208405450. The cubic root of 1966250286 is about 1252.7938120526.

It can be divided in two parts, 1966 and 250286, that added together give a palindrome (252252).

The spelling of 1966250286 in words is "one billion, nine hundred sixty-six million, two hundred fifty thousand, two hundred eighty-six".