1983185490 has 256 divisors, whose sum is σ = 6019743744. Its totient is φ = 410726400.

The previous prime is 1983185489. The next prime is 1983185513. The reversal of 1983185490 is 945813891.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5177839 + ... + 5178221.

It is an arithmetic number, because the mean of its divisors is an integer number (23514624).

Almost surely, 2^1983185490 is an apocalyptic number.

1983185490 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 1983185490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009871872).

1983185490 is an abundant number, since it is smaller than the sum of its proper divisors (4036558254).

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

1983185490 is a wasteful number, since it uses less digits than its factorization.

1983185490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1983185490 is about 44532.9708193828. The cubic root of 1983185490 is about 1256.3802827185.

The spelling of 1983185490 in words is "one billion, nine hundred eighty-three million, one hundred eighty-five thousand, four hundred ninety".