1982419416 has 96 divisors (see below), whose sum is σ = 5661068400. Its totient is φ = 624983040.

The previous prime is 1982419409. The next prime is 1982419421. The reversal of 1982419416 is 6149142891.

It is a happy number.

1982419416 is a `hidden beast` number, since 198 + 2 + 41 + 9 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500036 + ... + 1501356.

Almost surely, 2^1982419416 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 1982419416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830534200).

1982419416 is an abundant number, since it is smaller than the sum of its proper divisors (3678648984).

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

1982419416 is a wasteful number, since it uses less digits than its factorization.

1982419416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1982419416 is about 44524.3687883388. The cubic root of 1982419416 is about 1256.2184884351.

The spelling of 1982419416 in words is "one billion, nine hundred eighty-two million, four hundred nineteen thousand, four hundred sixteen".