2165126340 has 96 divisors (see below), whose sum is σ = 6563321856. Its totient is φ = 530127360.

The previous prime is 2165126339. The next prime is 2165126347. The reversal of 2165126340 is 436215612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2165126298 and 2165126307.

It is not an unprimeable number, because it can be changed into a prime (2165126347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141714 + ... + 156246.

It is an arithmetic number, because the mean of its divisors is an integer number (68367936).

Almost surely, 2^2165126340 is an apocalyptic number.

2165126340 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 2165126340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281660928).

2165126340 is an abundant number, since it is smaller than the sum of its proper divisors (4398195516).

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

2165126340 is a wasteful number, since it uses less digits than its factorization.

2165126340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2165126340 is about 46530.9181082858. The cubic root of 2165126340 is about 1293.6826324463.

The spelling of 2165126340 in words is "two billion, one hundred sixty-five million, one hundred twenty-six thousand, three hundred forty".