2988648000 has 672 divisors, whose sum is σ = 12000049152. Its totient is φ = 705024000.

The previous prime is 2988647999. The next prime is 2988648023. The reversal of 2988648000 is 8468892.

It is a happy number.

2988648000 is a `hidden beast` number, since 2 + 98 + 86 + 480 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 29015949 + ... + 29016051.

It is an arithmetic number, because the mean of its divisors is an integer number (17857216).

Almost surely, 2^2988648000 is an apocalyptic number.

2988648000 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 2988648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000024576).

2988648000 is an abundant number, since it is smaller than the sum of its proper divisors (9011401152).

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

2988648000 is a wasteful number, since it uses less digits than its factorization.

2988648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2988648000 is about 54668.5284235821. The cubic root of 2988648000 is about 1440.4281134496.

The spelling of 2988648000 in words is "two billion, nine hundred eighty-eight million, six hundred forty-eight thousand".