2348944000 has 256 divisors, whose sum is σ = 6576111360. Its totient is φ = 827904000.

The previous prime is 2348943991. The next prime is 2348944021. The reversal of 2348944000 is 4498432.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4783755 + ... + 4784245.

It is an arithmetic number, because the mean of its divisors is an integer number (25687935).

Almost surely, 2^2348944000 is an apocalyptic number.

2348944000 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 2348944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288055680).

2348944000 is an abundant number, since it is smaller than the sum of its proper divisors (4227167360).

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

2348944000 is a wasteful number, since it uses less digits than its factorization.

2348944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2348944000 is about 48465.9055419374. The cubic root of 2348944000 is about 1329.3037228368.

The spelling of 2348944000 in words is "two billion, three hundred forty-eight million, nine hundred forty-four thousand".