2414288480 has 96 divisors (see below), whose sum is σ = 5983238016. Its totient is φ = 919517184.

The previous prime is 2414288467. The next prime is 2414288491. The reversal of 2414288480 is 848824142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273902 + ... + 282578.

It is an arithmetic number, because the mean of its divisors is an integer number (62325396).

Almost surely, 2^2414288480 is an apocalyptic number.

2414288480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991619008).

2414288480 is an abundant number, since it is smaller than the sum of its proper divisors (3568949536).

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

2414288480 is a wasteful number, since it uses less digits than its factorization.

2414288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 41.

The square root of 2414288480 is about 49135.4096350076. The cubic root of 2414288480 is about 1341.5176389560.

The spelling of 2414288480 in words is "two billion, four hundred fourteen million, two hundred eighty-eight thousand, four hundred eighty".