2968267200 has 168 divisors, whose sum is σ = 9766279680. Its totient is φ = 789273600.

The previous prime is 2968267199. The next prime is 2968267219. The reversal of 2968267200 is 27628692.

It is a super-2 number, since 2×2968267200² = 17621220341191680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298555 + ... + 2299845.

Almost surely, 2^2968267200 is an apocalyptic number.

2968267200 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 2968267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883139840).

2968267200 is an abundant number, since it is smaller than the sum of its proper divisors (6798012480).

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

2968267200 is a wasteful number, since it uses less digits than its factorization.

2968267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2968267200 is about 54481.8061374621. The cubic root of 2968267200 is about 1437.1463548454.

The spelling of 2968267200 in words is "two billion, nine hundred sixty-eight million, two hundred sixty-seven thousand, two hundred".