2968986960 has 200 divisors, whose sum is σ = 10354560480. Its totient is φ = 788444928.

The previous prime is 2968986959. The next prime is 2968986971. The reversal of 2968986960 is 696898692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1833031 + ... + 1834649.

Almost surely, 2^2968986960 is an apocalyptic number.

2968986960 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 2968986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177280240).

2968986960 is an abundant number, since it is smaller than the sum of its proper divisors (7385573520).

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

2968986960 is a wasteful number, since it uses less digits than its factorization.

2968986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 2968986960 is about 54488.4112449611. The cubic root of 2968986960 is about 1437.2625075582.

The spelling of 2968986960 in words is "two billion, nine hundred sixty-eight million, nine hundred eighty-six thousand, nine hundred sixty".