2968966224 has 640 divisors, whose sum is σ = 11244994560. Its totient is φ = 739031040.

The previous prime is 2968966211. The next prime is 2968966289. The reversal of 2968966224 is 4226698692.

It is a happy number.

2968966224 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 9 + 6 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95773089 + ... + 95773119.

It is an arithmetic number, because the mean of its divisors is an integer number (17570304).

Almost surely, 2^2968966224 is an apocalyptic number.

2968966224 is a gapful number since it is divisible by the number (24) 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 2968966224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622497280).

2968966224 is an abundant number, since it is smaller than the sum of its proper divisors (8276028336).

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

2968966224 is a wasteful number, since it uses less digits than its factorization.

2968966224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2968966224 is about 54488.2209656362. The cubic root of 2968966224 is about 1437.2591615073.

The spelling of 2968966224 in words is "two billion, nine hundred sixty-eight million, nine hundred sixty-six thousand, two hundred twenty-four".