2996287200 has 216 divisors, whose sum is σ = 10957689288. Its totient is φ = 798958080.

The previous prime is 2996287187. The next prime is 2996287219. The reversal of 2996287200 is 27826992.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 186694 + ... + 202106.

It is an arithmetic number, because the mean of its divisors is an integer number (50730043).

Almost surely, 2^2996287200 is an apocalyptic number.

2996287200 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 2996287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478844644).

2996287200 is an abundant number, since it is smaller than the sum of its proper divisors (7961402088).

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

2996287200 is a wasteful number, since it uses less digits than its factorization.

2996287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2996287200 is about 54738.3521856477. The cubic root of 2996287200 is about 1441.6543486683.

The spelling of 2996287200 in words is "two billion, nine hundred ninety-six million, two hundred eighty-seven thousand, two hundred".