2973950330112 has 216 divisors, whose sum is σ = 8780159388000. Its totient is φ = 967587876864.

The previous prime is 2973950330111. The next prime is 2973950330123. The reversal of 2973950330112 is 2110330593792.

2973950330112 is a `hidden beast` number, since 29 + 7 + 3 + 9 + 503 + 3 + 0 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973950330111) 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, 153452839 + ... + 153472217.

Almost surely, 2^{2973950330112} 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 2973950330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390079694000).

2973950330112 is an abundant number, since it is smaller than the sum of its proper divisors (5806209057888).

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

2973950330112 is a wasteful number, since it uses less digits than its factorization.

2973950330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20993 (or 20976 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 2973950330112 in words is "two trillion, nine hundred seventy-three billion, nine hundred fifty million, three hundred thirty thousand, one hundred twelve".