2973301056 has 252 divisors, whose sum is σ = 9629153716. Its totient is φ = 875888640.

The previous prime is 2973301049. The next prime is 2973301061. The reversal of 2973301056 is 6501033792.

It can be written as a sum of positive squares in 2 ways, for example, as 2516025600 + 457275456 = 50160^2 + 21384^2 .

It is a super-2 number, since 2×2973301056² = 17681038339221430272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2973301056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578176 + ... + 2579328.

Almost surely, 2^2973301056 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 2973301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814576858).

2973301056 is an abundant number, since it is smaller than the sum of its proper divisors (6655852660).

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

2973301056 is a wasteful number, since it uses less digits than its factorization.

2973301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 2973301056 is about 54527.9841549273. The cubic root of 2973301056 is about 1437.9583102823.

The spelling of 2973301056 in words is "two billion, nine hundred seventy-three million, three hundred one thousand, fifty-six".