2142058081940 has 144 divisors (see below), whose sum is σ = 5311617825024. Its totient is φ = 723369830400.

The previous prime is 2142058081927. The next prime is 2142058081991. The reversal of 2142058081940 is 491808502412.

It is a junction number, because it is equal to n+sod(n) for n = 2142058081891 and 2142058081900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73949060 + ... + 73978020.

It is an arithmetic number, because the mean of its divisors is an integer number (36886234896).

Almost surely, 2^{2142058081940} is an apocalyptic number.

2142058081940 is a gapful number since it is divisible by the number (20) 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 2142058081940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655808912512).

2142058081940 is an abundant number, since it is smaller than the sum of its proper divisors (3169559743084).

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

2142058081940 is a wasteful number, since it uses less digits than its factorization.

2142058081940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30118 (or 30109 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 2142058081940 in words is "two trillion, one hundred forty-two billion, fifty-eight million, eighty-one thousand, nine hundred forty".