2946173472 has 240 divisors, whose sum is σ = 9519358464. Its totient is φ = 886464000.

The previous prime is 2946173467. The next prime is 2946173473. The reversal of 2946173472 is 2743716492.

2946173472 is a `hidden beast` number, since 2 + 9 + 4 + 6 + 173 + 472 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2946173473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5445522 + ... + 5446062.

Almost surely, 2^2946173472 is an apocalyptic number.

2946173472 is a gapful number since it is divisible by the number (22) 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 2946173472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759679232).

2946173472 is an abundant number, since it is smaller than the sum of its proper divisors (6573184992).

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

2946173472 is a wasteful number, since it uses less digits than its factorization.

2946173472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2946173472 is about 54278.6649798979. The cubic root of 2946173472 is about 1433.5717633765.

The spelling of 2946173472 in words is "two billion, nine hundred forty-six million, one hundred seventy-three thousand, four hundred seventy-two".