1946416224 has 96 divisors (see below), whose sum is σ = 5453070336. Its totient is φ = 605767680.

The previous prime is 1946416211. The next prime is 1946416237. The reversal of 1946416224 is 4226146491.

It is an interprime number because it is at equal distance from previous prime (1946416211) and next prime (1946416237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1946416224² = 7577072234100836352, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202569 + ... + 211959.

It is an arithmetic number, because the mean of its divisors is an integer number (56802816).

Almost surely, 2^1946416224 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 1946416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726535168).

1946416224 is an abundant number, since it is smaller than the sum of its proper divisors (3506654112).

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

1946416224 is a wasteful number, since it uses less digits than its factorization.

1946416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9540 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1946416224 is about 44118.2073978533. The cubic root of 1946416224 is about 1248.5671526397.

The spelling of 1946416224 in words is "one billion, nine hundred forty-six million, four hundred sixteen thousand, two hundred twenty-four".