2385152000 has 384 divisors, whose sum is σ = 7481859840. Its totient is φ = 743424000.

The previous prime is 2385151987. The next prime is 2385152041. The reversal of 2385152000 is 2515832.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216831995 + ... + 216832005.

It is an arithmetic number, because the mean of its divisors is an integer number (19484010).

Almost surely, 2^2385152000 is an apocalyptic number.

2385152000 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 2385152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740929920).

2385152000 is an abundant number, since it is smaller than the sum of its proper divisors (5096707840).

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

2385152000 is an frugal number, since it uses more digits than its factorization.

2385152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2385152000 is about 48838.0179778009. The cubic root of 2385152000 is about 1336.0991476253.

Adding to 2385152000 its reverse (2515832), we get a palindrome (2387667832).

The spelling of 2385152000 in words is "two billion, three hundred eighty-five million, one hundred fifty-two thousand".