2164800240 has 60 divisors (see below), whose sum is σ = 7270123224. Its totient is φ = 577279872.

The previous prime is 2164800191. The next prime is 2164800241. The reversal of 2164800240 is 420084612.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164800241) 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 11 ways as a sum of consecutive naturals, for example, 1502614 + ... + 1504053.

Almost surely, 2^2164800240 is an apocalyptic number.

2164800240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164800240 is an abundant number, since it is smaller than the sum of its proper divisors (5105322984).

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

2164800240 is a wasteful number, since it uses less digits than its factorization.

2164800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006686 (or 3006677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2164800240 is about 46527.4138546298. The cubic root of 2164800240 is about 1293.6176799490.

Adding to 2164800240 its reverse (420084612), we get a palindrome (2584884852).

The spelling of 2164800240 in words is "two billion, one hundred sixty-four million, eight hundred thousand, two hundred forty".