2965973112 has 240 divisors, whose sum is σ = 9072676800. Its totient is φ = 904193280.

The previous prime is 2965973111. The next prime is 2965973123. The reversal of 2965973112 is 2113795692.

It is a happy number.

2965973112 is a `hidden beast` number, since 29 + 6 + 597 + 31 + 1 + 2 = 666.

It is a super-2 number, since 2×2965973112² = 17593993002213929088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965973111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7251564 + ... + 7251972.

It is an arithmetic number, because the mean of its divisors is an integer number (37802820).

Almost surely, 2^2965973112 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 2965973112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536338400).

2965973112 is an abundant number, since it is smaller than the sum of its proper divisors (6106703688).

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

2965973112 is a wasteful number, since it uses less digits than its factorization.

2965973112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 464 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 2965973112 is about 54460.7483606313. The cubic root of 2965973112 is about 1436.7760164494.

The spelling of 2965973112 in words is "two billion, nine hundred sixty-five million, nine hundred seventy-three thousand, one hundred twelve".