2416160720 has 20 divisors (see below), whose sum is σ = 5617573860. Its totient is φ = 966464256.

The previous prime is 2416160699. The next prime is 2416160753. The reversal of 2416160720 is 270616142.

It can be written as a sum of positive squares in 2 ways, for example, as 439824784 + 1976335936 = 20972^2 + 44456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 15100925 + ... + 15101084.

It is an arithmetic number, because the mean of its divisors is an integer number (280878693).

Almost surely, 2^2416160720 is an apocalyptic number.

2416160720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2416160720 is an abundant number, since it is smaller than the sum of its proper divisors (3201413140).

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

2416160720 is a wasteful number, since it uses less digits than its factorization.

2416160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202022 (or 30202016 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2416160720 is about 49154.4577836029. The cubic root of 2416160720 is about 1341.8643241235.

Adding to 2416160720 its reverse (270616142), we get a palindrome (2686776862).

The spelling of 2416160720 in words is "two billion, four hundred sixteen million, one hundred sixty thousand, seven hundred twenty".