2412657216 has 84 divisors (see below), whose sum is σ = 6945512652. Its totient is φ = 800722944.

The previous prime is 2412657211. The next prime is 2412657223. The reversal of 2412657216 is 6127562142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 1577678400 = 28896^2 + 39720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412657211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125220 + ... + 143196.

Almost surely, 2^2412657216 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 2412657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472756326).

2412657216 is an abundant number, since it is smaller than the sum of its proper divisors (4532855436).

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

2412657216 is a wasteful number, since it uses less digits than its factorization.

2412657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18228 (or 18215 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2412657216 is about 49118.8071516400. The cubic root of 2412657216 is about 1341.2154294913.

The spelling of 2412657216 in words is "two billion, four hundred twelve million, six hundred fifty-seven thousand, two hundred sixteen".