2416001252 has 54 divisors (see below), whose sum is σ = 5094080082. Its totient is φ = 999656448.

The previous prime is 2416001243. The next prime is 2416001261. The reversal of 2416001252 is 2521006142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2416001243) and next prime (2416001261).

It can be written as a sum of positive squares in 3 ways, for example, as 1187078116 + 1228923136 = 34454^2 + 35056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157508 + ... + 172164.

Almost surely, 2^2416001252 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 2416001252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547040041).

2416001252 is an abundant number, since it is smaller than the sum of its proper divisors (2678078830).

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

2416001252 is a wasteful number, since it uses less digits than its factorization.

2416001252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14733 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2416001252 is about 49152.8356455658. The cubic root of 2416001252 is about 1341.8348022011.

Adding to 2416001252 its reverse (2521006142), we get a palindrome (4937007394).

The spelling of 2416001252 in words is "two billion, four hundred sixteen million, one thousand, two hundred fifty-two".