1983879040 has 256 divisors, whose sum is σ = 5690865600. Its totient is φ = 651755520.

The previous prime is 1983879019. The next prime is 1983879041. The reversal of 1983879040 is 409783891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983879041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4850356 + ... + 4850764.

Almost surely, 2^1983879040 is an apocalyptic number.

1983879040 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 1983879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845432800).

1983879040 is an abundant number, since it is smaller than the sum of its proper divisors (3706986560).

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

1983879040 is a wasteful number, since it uses less digits than its factorization.

1983879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 1983879040 is about 44540.7570658605. The cubic root of 1983879040 is about 1256.5267240529.

The spelling of 1983879040 in words is "one billion, nine hundred eighty-three million, eight hundred seventy-nine thousand, forty".