2416320252 has 72 divisors (see below), whose sum is σ = 6327266400. Its totient is φ = 776592768.

The previous prime is 2416320251. The next prime is 2416320259. The reversal of 2416320252 is 2520236142.

It is a happy number.

2416320252 is a `hidden beast` number, since 2 + 4 + 1 + 632 + 0 + 25 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416320251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156753 + ... + 1158839.

It is an arithmetic number, because the mean of its divisors is an integer number (87878700).

Almost surely, 2^2416320252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416320252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163633200).

2416320252 is an abundant number, since it is smaller than the sum of its proper divisors (3910946148).

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

2416320252 is a wasteful number, since it uses less digits than its factorization.

2416320252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2416320252 is about 49156.0805190975. The cubic root of 2416320252 is about 1341.8938565943.

Adding to 2416320252 its reverse (2520236142), we get a palindrome (4936556394).

The spelling of 2416320252 in words is "two billion, four hundred sixteen million, three hundred twenty thousand, two hundred fifty-two".