1983114240 has 352 divisors, whose sum is σ = 6734859264. Its totient is φ = 497418240.

The previous prime is 1983114239. The next prime is 1983114317. The reversal of 1983114240 is 424113891.

It is a happy number.

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, 29598687 + ... + 29598753.

Almost surely, 2^1983114240 is an apocalyptic number.

1983114240 is a gapful number since it is divisible by the number (10) 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 1983114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367429632).

1983114240 is an abundant number, since it is smaller than the sum of its proper divisors (4751745024).

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

1983114240 is a wasteful number, since it uses less digits than its factorization.

1983114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1983114240 is about 44532.1708431107. The cubic root of 1983114240 is about 1256.3652365268.

The spelling of 1983114240 in words is "one billion, nine hundred eighty-three million, one hundred fourteen thousand, two hundred forty".