1982509992 has 80 divisors (see below), whose sum is σ = 5559301440. Its totient is φ = 660070944.

The previous prime is 1982509979. The next prime is 1982510009. The reversal of 1982509992 is 2999052891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959953 + ... + 962015.

It is an arithmetic number, because the mean of its divisors is an integer number (69491268).

Almost surely, 2^1982509992 is an apocalyptic number.

1982509992 is a gapful number since it is divisible by the number (12) 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 1982509992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779650720).

1982509992 is an abundant number, since it is smaller than the sum of its proper divisors (3576791448).

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

1982509992 is a wasteful number, since it uses less digits than its factorization.

1982509992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 1982509992 is about 44525.3859275807. The cubic root of 1982509992 is about 1256.2376201943.

The spelling of 1982509992 in words is "one billion, nine hundred eighty-two million, five hundred nine thousand, nine hundred ninety-two".