2382048000 has 360 divisors, whose sum is σ = 8873985120. Its totient is φ = 634521600.

The previous prime is 2382047989. The next prime is 2382048043. The reversal of 2382048000 is 8402832.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591541 + ... + 2592459.

Almost surely, 2^2382048000 is an apocalyptic number.

2382048000 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 2382048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436992560).

2382048000 is an abundant number, since it is smaller than the sum of its proper divisors (6491937120).

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

2382048000 is an frugal number, since it uses more digits than its factorization.

2382048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2382048000 is about 48806.2291106371. The cubic root of 2382048000 is about 1335.5193030825.

The spelling of 2382048000 in words is "two billion, three hundred eighty-two million, forty-eight thousand".