1982567040 has 128 divisors (see below), whose sum is σ = 6341544000. Its totient is φ = 526835712.

The previous prime is 1982567017. The next prime is 1982567057. The reversal of 1982567040 is 407652891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1982566983 and 1982567001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599311 + ... + 602609.

Almost surely, 2^1982567040 is an apocalyptic number.

1982567040 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 1982567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170772000).

1982567040 is an abundant number, since it is smaller than the sum of its proper divisors (4358976960).

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

1982567040 is a wasteful number, since it uses less digits than its factorization.

1982567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1982567040 is about 44526.0265462796. The cubic root of 1982567040 is about 1256.2496697606.

The spelling of 1982567040 in words is "one billion, nine hundred eighty-two million, five hundred sixty-seven thousand, forty".