2165416640 has 56 divisors (see below), whose sum is σ = 5282196192. Its totient is φ = 845035520.

The previous prime is 2165416621. The next prime is 2165416663. The reversal of 2165416640 is 466145612.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2165416640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69404 + ... + 95643.

It is an arithmetic number, because the mean of its divisors is an integer number (94324932).

Almost surely, 2^2165416640 is an apocalyptic number.

2165416640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165416640 is an abundant number, since it is smaller than the sum of its proper divisors (3116779552).

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

2165416640 is a wasteful number, since it uses less digits than its factorization.

2165416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165105 (or 165095 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2165416640 is about 46534.0374349787. The cubic root of 2165416640 is about 1293.7404488237.

The spelling of 2165416640 in words is "two billion, one hundred sixty-five million, four hundred sixteen thousand, six hundred forty".