1983053184 has 256 divisors, whose sum is σ = 6271057920. Its totient is φ = 543449088.

The previous prime is 1983053131. The next prime is 1983053201. The reversal of 1983053184 is 4813503891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12630834 + ... + 12630990.

It is an arithmetic number, because the mean of its divisors is an integer number (24496320).

Almost surely, 2^1983053184 is an apocalyptic number.

1983053184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983053184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135528960).

1983053184 is an abundant number, since it is smaller than the sum of its proper divisors (4288004736).

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

1983053184 is a wasteful number, since it uses less digits than its factorization.

1983053184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1983053184 is about 44531.4853109572. The cubic root of 1983053184 is about 1256.3523427624.

The spelling of 1983053184 in words is "one billion, nine hundred eighty-three million, fifty-three thousand, one hundred eighty-four".