2946404160 has 336 divisors, whose sum is σ = 12013362816. Its totient is φ = 673339392.

The previous prime is 2946404141. The next prime is 2946404171. The reversal of 2946404160 is 614046492.

2946404160 is a `hidden beast` number, since 2 + 9 + 4 + 640 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 541614 + ... + 547026.

It is an arithmetic number, because the mean of its divisors is an integer number (35754056).

Almost surely, 2^2946404160 is an apocalyptic number.

2946404160 is a gapful number since it is divisible by the number (20) 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 2946404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006681408).

2946404160 is an abundant number, since it is smaller than the sum of its proper divisors (9066958656).

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

2946404160 is an equidigital number, since it uses as much as digits as its factorization.

2946404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2946404160 is about 54280.7899721439. The cubic root of 2946404160 is about 1433.6091790474.

The spelling of 2946404160 in words is "two billion, nine hundred forty-six million, four hundred four thousand, one hundred sixty".