2968638750 has 480 divisors, whose sum is σ = 10526630400. Its totient is φ = 586080000.

The previous prime is 2968638721. The next prime is 2968638779. The reversal of 2968638750 is 578368692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2968638721) and next prime (2968638779).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19923676 + ... + 19923824.

It is an arithmetic number, because the mean of its divisors is an integer number (21930480).

Almost surely, 2^2968638750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968638750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263315200).

2968638750 is an abundant number, since it is smaller than the sum of its proper divisors (7557991650).

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

2968638750 is a wasteful number, since it uses less digits than its factorization.

2968638750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2968638750 is about 54485.2158846783. The cubic root of 2968638750 is about 1437.2063168158.

The spelling of 2968638750 in words is "two billion, nine hundred sixty-eight million, six hundred thirty-eight thousand, seven hundred fifty".