2165300131840 has 192 divisors, whose sum is σ = 5250156912000. Its totient is φ = 857039339520.

The previous prime is 2165300131811. The next prime is 2165300131859. The reversal of 2165300131840 is 481310035612.

It is a junction number, because it is equal to n+sod(n) for n = 2165300131796 and 2165300131805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508403631 + ... + 508407889.

It is an arithmetic number, because the mean of its divisors is an integer number (27344567250).

Almost surely, 2^{2165300131840} is an apocalyptic number.

2165300131840 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 2165300131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625078456000).

2165300131840 is an abundant number, since it is smaller than the sum of its proper divisors (3084856780160).

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

2165300131840 is a wasteful number, since it uses less digits than its factorization.

2165300131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2165300131840 in words is "two trillion, one hundred sixty-five billion, three hundred million, one hundred thirty-one thousand, eight hundred forty".