1982091456 has 84 divisors (see below), whose sum is σ = 5788590912. Its totient is φ = 648221184.

The previous prime is 1982091431. The next prime is 1982091467. The reversal of 1982091456 is 6541902891.

1982091456 is a `hidden beast` number, since 1 + 98 + 20 + 91 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1936 + ... + 62991.

Almost surely, 2^1982091456 is an apocalyptic number.

1982091456 is a gapful number since it is divisible by the number (16) 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 1982091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894295456).

1982091456 is an abundant number, since it is smaller than the sum of its proper divisors (3806499456).

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

1982091456 is a wasteful number, since it uses less digits than its factorization.

1982091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64998 (or 64985 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1982091456 is about 44520.6857090050. The cubic root of 1982091456 is about 1256.1492107748.

The spelling of 1982091456 in words is "one billion, nine hundred eighty-two million, ninety-one thousand, four hundred fifty-six".