2906563968 has 576 divisors, whose sum is σ = 11028925440. Its totient is φ = 725760000.

The previous prime is 2906563963. The next prime is 2906563987. The reversal of 2906563968 is 8693656092.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2906563968² = 16896228200151810048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906563963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19248693 + ... + 19248843.

It is an arithmetic number, because the mean of its divisors is an integer number (19147440).

Almost surely, 2^2906563968 is an apocalyptic number.

2906563968 is a gapful number since it is divisible by the number (28) 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 2906563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514462720).

2906563968 is an abundant number, since it is smaller than the sum of its proper divisors (8122361472).

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

2906563968 is a wasteful number, since it uses less digits than its factorization.

2906563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2906563968 is about 53912.5585369494. The cubic root of 2906563968 is about 1427.1182561251.

The spelling of 2906563968 in words is "two billion, nine hundred six million, five hundred sixty-three thousand, nine hundred sixty-eight".