1982934480240 has 240 divisors, whose sum is σ = 8058379462848. Its totient is φ = 426580844544.

The previous prime is 1982934480227. The next prime is 1982934480253. The reversal of 1982934480240 is 420844392891.

It is a happy number.

1982934480240 is a `hidden beast` number, since 1 + 98 + 2 + 9 + 34 + 480 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1982934480227) and next prime (1982934480253).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11486067 + ... + 11657426.

Almost surely, 2^{1982934480240} is an apocalyptic number.

1982934480240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982934480240 is an abundant number, since it is smaller than the sum of its proper divisors (6075444982608).

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

1982934480240 is a wasteful number, since it uses less digits than its factorization.

1982934480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23143536 (or 23143527 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1982934480240 in words is "one trillion, nine hundred eighty-two billion, nine hundred thirty-four million, four hundred eighty thousand, two hundred forty".