1982340864 has 270 divisors, whose sum is σ = 6879564384. Its totient is φ = 566092800.

The previous prime is 1982340847. The next prime is 1982340869. The reversal of 1982340864 is 4680432891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982340869) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015089 + ... + 1017039.

Almost surely, 2^1982340864 is an apocalyptic number.

1982340864 is a gapful number since it is divisible by the number (14) 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 1982340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439782192).

1982340864 is an abundant number, since it is smaller than the sum of its proper divisors (4897223520).

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

1982340864 is an equidigital number, since it uses as much as digits as its factorization.

1982340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1982340864 is about 44523.4866559213. The cubic root of 1982340864 is about 1256.2018959526.

The spelling of 1982340864 in words is "one billion, nine hundred eighty-two million, three hundred forty thousand, eight hundred sixty-four".