2988572800 has 192 divisors, whose sum is σ = 7893680040. Its totient is φ = 1114112000.

The previous prime is 2988572773. The next prime is 2988572801. The reversal of 2988572800 is 82758892.

It can be written as a sum of positive squares in 12 ways, for example, as 1493667904 + 1494904896 = 38648^2 + 38664^2 .

It is not an unprimeable number, because it can be changed into a prime (2988572801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7452600 + ... + 7453000.

Almost surely, 2^2988572800 is an apocalyptic number.

2988572800 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 2988572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946840020).

2988572800 is an abundant number, since it is smaller than the sum of its proper divisors (4905107240).

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

2988572800 is a wasteful number, since it uses less digits than its factorization.

2988572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 2988572800 is about 54667.8406378009. The cubic root of 2988572800 is about 1440.4160320555.

The spelling of 2988572800 in words is "two billion, nine hundred eighty-eight million, five hundred seventy-two thousand, eight hundred".