1982398560 has 192 divisors, whose sum is σ = 6693829632. Its totient is φ = 491380736.

The previous prime is 1982398547. The next prime is 1982398601. The reversal of 1982398560 is 658932891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 675817 + ... + 678743.

It is an arithmetic number, because the mean of its divisors is an integer number (34863696).

Almost surely, 2^1982398560 is an apocalyptic number.

1982398560 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 1982398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346914816).

1982398560 is an abundant number, since it is smaller than the sum of its proper divisors (4711431072).

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

1982398560 is a wasteful number, since it uses less digits than its factorization.

1982398560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 1982398560 is about 44524.1345789000. The cubic root of 1982398560 is about 1256.2140830800.

The spelling of 1982398560 in words is "one billion, nine hundred eighty-two million, three hundred ninety-eight thousand, five hundred sixty".