2968627200 has 576 divisors, whose sum is σ = 12284213760. Its totient is φ = 614400000.

The previous prime is 2968627183. The next prime is 2968627217. The reversal of 2968627200 is 27268692.

It is an interprime number because it is at equal distance from previous prime (2968627183) and next prime (2968627217).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827075 + ... + 11827325.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^2968627200 is an apocalyptic number.

2968627200 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 2968627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

2968627200 is an abundant number, since it is smaller than the sum of its proper divisors (9315586560).

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

2968627200 is a wasteful number, since it uses less digits than its factorization.

2968627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

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

The square root of 2968627200 is about 54485.1098925202. The cubic root of 2968627200 is about 1437.2044529139.

The spelling of 2968627200 in words is "two billion, nine hundred sixty-eight million, six hundred twenty-seven thousand, two hundred".