2416415190 has 128 divisors (see below), whose sum is σ = 7323125760. Its totient is φ = 497215488.

The previous prime is 2416415189. The next prime is 2416415191. The reversal of 2416415190 is 915146142.

It is an interprime number because it is at equal distance from previous prime (2416415189) and next prime (2416415191).

It is a super-2 number, since 2×2416415190² = 11678124740925472200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416415191) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67396 + ... + 96824.

It is an arithmetic number, because the mean of its divisors is an integer number (57211920).

Almost surely, 2^2416415190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416415190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661562880).

2416415190 is an abundant number, since it is smaller than the sum of its proper divisors (4906710570).

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

2416415190 is a wasteful number, since it uses less digits than its factorization.

2416415190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29486.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2416415190 is about 49157.0461887205. The cubic root of 2416415190 is about 1341.9114308446.

The spelling of 2416415190 in words is "two billion, four hundred sixteen million, four hundred fifteen thousand, one hundred ninety".