2968042896 has 540 divisors, whose sum is σ = 11097749520. Its totient is φ = 735920640.

The previous prime is 2968042873. The next prime is 2968042897. The reversal of 2968042896 is 6982408692.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2968042897) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22656751 + ... + 22656881.

It is an arithmetic number, because the mean of its divisors is an integer number (20551388).

Almost surely, 2^2968042896 is an apocalyptic number.

2968042896 is a gapful number since it is divisible by the number (26) 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 2968042896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548874760).

2968042896 is an abundant number, since it is smaller than the sum of its proper divisors (8129706624).

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

2968042896 is a wasteful number, since it uses less digits than its factorization.

2968042896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2968042896 is about 54479.7475765077. The cubic root of 2968042896 is about 1437.1101535003.

The spelling of 2968042896 in words is "two billion, nine hundred sixty-eight million, forty-two thousand, eight hundred ninety-six".