1966027050 has 288 divisors, whose sum is σ = 6153074928. Its totient is φ = 445685760.

The previous prime is 1966026983. The next prime is 1966027069. The reversal of 1966027050 is 507206691.

1966027050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 5574321 + 1960452729 = 2361^2 + 44277^2 .

It is a super-2 number, since 2×1966027050² = 7730524722663405000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1966026996 and 1966027014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5270664 + ... + 5271036.

Almost surely, 2^1966027050 is an apocalyptic number.

1966027050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966027050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076537464).

1966027050 is an abundant number, since it is smaller than the sum of its proper divisors (4187047878).

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

1966027050 is a wasteful number, since it uses less digits than its factorization.

1966027050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1966027050 is about 44339.9035858221. The cubic root of 1966027050 is about 1252.7463987492.

The spelling of 1966027050 in words is "one billion, nine hundred sixty-six million, twenty-seven thousand, fifty".