2165457240 has 160 divisors (see below), whose sum is σ = 7296648480. Its totient is φ = 576004608.

The previous prime is 2165457233. The next prime is 2165457257. The reversal of 2165457240 is 427545612.

It is a happy number.

2165457240 is a `hidden beast` number, since 2 + 1 + 6 + 545 + 72 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2165457195 and 2165457204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2095764 + ... + 2096796.

It is an arithmetic number, because the mean of its divisors is an integer number (45604053).

Almost surely, 2^2165457240 is an apocalyptic number.

2165457240 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 2165457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648324240).

2165457240 is an abundant number, since it is smaller than the sum of its proper divisors (5131191240).

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

2165457240 is a wasteful number, since it uses less digits than its factorization.

2165457240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2165457240 is about 46534.4736727515. The cubic root of 2165457240 is about 1293.7485343399.

The spelling of 2165457240 in words is "two billion, one hundred sixty-five million, four hundred fifty-seven thousand, two hundred forty".