1982863260 has 192 divisors, whose sum is σ = 7200829440. Its totient is φ = 443543040.

The previous prime is 1982863249. The next prime is 1982863283. The reversal of 1982863260 is 623682891.

1982863260 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 8 + 632 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172080 + ... + 183240.

It is an arithmetic number, because the mean of its divisors is an integer number (37504320).

Almost surely, 2^1982863260 is an apocalyptic number.

1982863260 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 1982863260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600414720).

1982863260 is an abundant number, since it is smaller than the sum of its proper divisors (5217966180).

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

1982863260 is a wasteful number, since it uses less digits than its factorization.

1982863260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1982863260 is about 44529.3527911646. The cubic root of 1982863260 is about 1256.3122330498.

The spelling of 1982863260 in words is "one billion, nine hundred eighty-two million, eight hundred sixty-three thousand, two hundred sixty".