2165465040 has 80 divisors (see below), whose sum is σ = 6734354688. Its totient is φ = 575615488.

The previous prime is 2165465021. The next prime is 2165465059. The reversal of 2165465040 is 405645612.

It is an interprime number because it is at equal distance from previous prime (2165465021) and next prime (2165465059).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2165464992 and 2165465010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61849 + ... + 90311.

Almost surely, 2^2165465040 is an apocalyptic number.

2165465040 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 2165465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367177344).

2165465040 is an abundant number, since it is smaller than the sum of its proper divisors (4568889648).

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

2165465040 is a wasteful number, since it uses less digits than its factorization.

2165465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28796 (or 28790 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2165465040 is about 46534.5574815104. The cubic root of 2165465040 is about 1293.7500877033.

The spelling of 2165465040 in words is "two billion, one hundred sixty-five million, four hundred sixty-five thousand, forty".