2966122320 has 320 divisors, whose sum is σ = 11347845120. Its totient is φ = 625895424.

The previous prime is 2966122307. The next prime is 2966122321. The reversal of 2966122320 is 232216692.

2966122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966122321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119237 + ... + 1121883.

It is an arithmetic number, because the mean of its divisors is an integer number (35462016).

Almost surely, 2^2966122320 is an apocalyptic number.

2966122320 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 2966122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673922560).

2966122320 is an abundant number, since it is smaller than the sum of its proper divisors (8381722800).

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

2966122320 is a wasteful number, since it uses less digits than its factorization.

2966122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2966122320 is about 54462.1182107343. The cubic root of 2966122320 is about 1436.8001091471.

The spelling of 2966122320 in words is "two billion, nine hundred sixty-six million, one hundred twenty-two thousand, three hundred twenty".