2414466516 has 192 divisors, whose sum is σ = 7315660800. Its totient is φ = 601635840.

The previous prime is 2414466451. The next prime is 2414466517. The reversal of 2414466516 is 6156644142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414466517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301160 + ... + 2302208.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^2414466516 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 2414466516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2414466516 is an abundant number, since it is smaller than the sum of its proper divisors (4901194284).

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

2414466516 is a wasteful number, since it uses less digits than its factorization.

2414466516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 2414466516 is about 49137.2212889577. The cubic root of 2414466516 is about 1341.5506138284.

The spelling of 2414466516 in words is "two billion, four hundred fourteen million, four hundred sixty-six thousand, five hundred sixteen".