1982309760 has 160 divisors (see below), whose sum is σ = 7079371200. Its totient is φ = 528602112.

The previous prime is 1982309753. The next prime is 1982309821. The reversal of 1982309760 is 679032891.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 32721 + ... + 70959.

It is an arithmetic number, because the mean of its divisors is an integer number (44246070).

Almost surely, 2^1982309760 is an apocalyptic number.

1982309760 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 1982309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539685600).

1982309760 is an abundant number, since it is smaller than the sum of its proper divisors (5097061440).

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

1982309760 is an equidigital number, since it uses as much as digits as its factorization.

1982309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38270 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1982309760 is about 44523.1373557614. The cubic root of 1982309760 is about 1256.1953257560.

The spelling of 1982309760 in words is "one billion, nine hundred eighty-two million, three hundred nine thousand, seven hundred sixty".