2001863579424 has 96 divisors (see below), whose sum is σ = 5276272659840. Its totient is φ = 664576512000.

The previous prime is 2001863579377. The next prime is 2001863579447. The reversal of 2001863579424 is 4249753681002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35829142 + ... + 35884970.

It is an arithmetic number, because the mean of its divisors is an integer number (54961173540).

It is a 1-persistent number, because it is pandigital, but 2⋅2001863579424 = 4003727158848 is not.

Almost surely, 2^{2001863579424} is an apocalyptic number.

2001863579424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001863579424 is an abundant number, since it is smaller than the sum of its proper divisors (3274409080416).

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

2001863579424 is a wasteful number, since it uses less digits than its factorization.

2001863579424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57354 (or 57346 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2001863579424 in words is "two trillion, one billion, eight hundred sixty-three million, five hundred seventy-nine thousand, four hundred twenty-four".