2246956416 has 192 divisors, whose sum is σ = 7002932400. Its totient is φ = 709171200.

The previous prime is 2246956379. The next prime is 2246956417. The reversal of 2246956416 is 6146596422.

2246956416 is a `hidden beast` number, since 2 + 24 + 69 + 564 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2246956416³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246956417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246716 + ... + 1248516.

Almost surely, 2^2246956416 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 2246956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501466200).

2246956416 is an abundant number, since it is smaller than the sum of its proper divisors (4755975984).

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

2246956416 is a wasteful number, since it uses less digits than its factorization.

2246956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1825 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2246956416 is about 47402.0718534538. The cubic root of 2246956416 is about 1309.7795825955.

The spelling of 2246956416 in words is "two billion, two hundred forty-six million, nine hundred fifty-six thousand, four hundred sixteen".