2414441016 has 96 divisors (see below), whose sum is σ = 7051458960. Its totient is φ = 741920256.

The previous prime is 2414440949. The next prime is 2414441047. The reversal of 2414441016 is 6101444142.

2414441016 is a `hidden beast` number, since 241 + 4 + 4 + 410 + 1 + 6 = 666.

It is a super-2 number, since 2×2414441016² = 11659050839486224512, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1049980 + ... + 1052276.

Almost surely, 2^2414441016 is an apocalyptic number.

2414441016 is a gapful number since it is divisible by the number (26) 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 2414441016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525729480).

2414441016 is an abundant number, since it is smaller than the sum of its proper divisors (4637017944).

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

2414441016 is a wasteful number, since it uses less digits than its factorization.

2414441016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2414441016 is about 49136.9618108405. The cubic root of 2414441016 is about 1341.5458909547.

Adding to 2414441016 its reverse (6101444142), we get a palindrome (8515885158).

The spelling of 2414441016 in words is "two billion, four hundred fourteen million, four hundred forty-one thousand, sixteen".