2946414336 has 72 divisors (see below), whose sum is σ = 7941185280. Its totient is φ = 969686016.

The previous prime is 2946414281. The next prime is 2946414337. The reversal of 2946414336 is 6334146492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946414337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36391 + ... + 84953.

It is an arithmetic number, because the mean of its divisors is an integer number (110294240).

Almost surely, 2^2946414336 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 2946414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970592640).

2946414336 is an abundant number, since it is smaller than the sum of its proper divisors (4994770944).

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

2946414336 is an equidigital number, since it uses as much as digits as its factorization.

2946414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48661 (or 48647 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 2946414336 is about 54280.8837068816. The cubic root of 2946414336 is about 1433.6108294649.

The spelling of 2946414336 in words is "two billion, nine hundred forty-six million, four hundred fourteen thousand, three hundred thirty-six".