2414414328 has 64 divisors (see below), whose sum is σ = 6325171200. Its totient is φ = 766550400.

The previous prime is 2414414297. The next prime is 2414414347. The reversal of 2414414328 is 8234144142.

It is a nude number because it is divisible by every one of its digits.

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, 122778 + ... + 141078.

It is an arithmetic number, because the mean of its divisors is an integer number (98830800).

Almost surely, 2^2414414328 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 2414414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162585600).

2414414328 is an abundant number, since it is smaller than the sum of its proper divisors (3910756872).

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

2414414328 is a wasteful number, since it uses less digits than its factorization.

2414414328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572 (or 18568 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 2414414328 is about 49136.6902426283. The cubic root of 2414414328 is about 1341.5409480150.

The spelling of 2414414328 in words is "two billion, four hundred fourteen million, four hundred fourteen thousand, three hundred twenty-eight".