2938848000 has 576 divisors, whose sum is σ = 11203605504. Its totient is φ = 681472000.

The previous prime is 2938847963. The next prime is 2938848037. The reversal of 2938848000 is 8488392.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2938847963) and next prime (2938848037).

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 63 ways as a sum of consecutive naturals, for example, 127775989 + ... + 127776011.

It is an arithmetic number, because the mean of its divisors is an integer number (19450704).

Almost surely, 2^2938848000 is an apocalyptic number.

2938848000 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 2938848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601802752).

2938848000 is an abundant number, since it is smaller than the sum of its proper divisors (8264757504).

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

2938848000 is an equidigital number, since it uses as much as digits as its factorization.

2938848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2938848000 is about 54211.1427660403. The cubic root of 2938848000 is about 1432.3826157358.

The spelling of 2938848000 in words is "two billion, nine hundred thirty-eight million, eight hundred forty-eight thousand".