1982407050 has 144 divisors (see below), whose sum is σ = 5759240760. Its totient is φ = 485982720.

The previous prime is 1982407039. The next prime is 1982407051. The reversal of 1982407050 is 507042891.

1982407050 is digitally balanced in base 6, 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 12 ways, for example, as 106564329 + 1875842721 = 10323^2 + 43311^2 .

It is a super-3 number, since 3×1982407050³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1982406996 and 1982407014.

It is not an unprimeable number, because it can be changed into a prime (1982407051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1853916 + ... + 1854984.

Almost surely, 2^1982407050 is an apocalyptic number.

1982407050 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 1982407050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879620380).

1982407050 is an abundant number, since it is smaller than the sum of its proper divisors (3776833710).

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

1982407050 is a wasteful number, since it uses less digits than its factorization.

1982407050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1982407050 is about 44524.2299203479. The cubic root of 1982407050 is about 1256.2158764029.

The spelling of 1982407050 in words is "one billion, nine hundred eighty-two million, four hundred seven thousand, fifty".