2142001420320 has 96 divisors (see below), whose sum is σ = 6759289881792. Its totient is φ = 570185741312.

The previous prime is 2142001420309. The next prime is 2142001420327. The reversal of 2142001420320 is 230241002412.

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

It is not an unprimeable number, because it can be changed into a prime (2142001420327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3692907 + ... + 4233386.

It is an arithmetic number, because the mean of its divisors is an integer number (70409269602).

Almost surely, 2^{2142001420320} is an apocalyptic number.

2142001420320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142001420320 is an abundant number, since it is smaller than the sum of its proper divisors (4617288461472).

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

2142001420320 is a wasteful number, since it uses less digits than its factorization.

2142001420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926874 (or 7926866 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2142001420320 its reverse (230241002412), we get a palindrome (2372242422732).

The spelling of 2142001420320 in words is "two trillion, one hundred forty-two billion, one million, four hundred twenty thousand, three hundred twenty".