2165340324840 has 256 divisors, whose sum is σ = 8139640320000. Its totient is φ = 447679457280.

The previous prime is 2165340324809. The next prime is 2165340324881. The reversal of 2165340324840 is 484230435612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2165340324792 and 2165340324801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1249956 + ... + 2427564.

It is an arithmetic number, because the mean of its divisors is an integer number (31795470000).

Almost surely, 2^{2165340324840} is an apocalyptic number.

2165340324840 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 2165340324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069820160000).

2165340324840 is an abundant number, since it is smaller than the sum of its proper divisors (5974299995160).

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

2165340324840 is a wasteful number, since it uses less digits than its factorization.

2165340324840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177840 (or 1177836 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2165340324840 in words is "two trillion, one hundred sixty-five billion, three hundred forty million, three hundred twenty-four thousand, eight hundred forty".