2385576960 has 264 divisors, whose sum is σ = 8271190080. Its totient is φ = 586579968.

The previous prime is 2385576937. The next prime is 2385576989. The reversal of 2385576960 is 696755832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595381 + ... + 2596299.

Almost surely, 2^2385576960 is an apocalyptic number.

2385576960 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 2385576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135595040).

2385576960 is an abundant number, since it is smaller than the sum of its proper divisors (5885613120).

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

2385576960 is a wasteful number, since it uses less digits than its factorization.

2385576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 2385576960 is about 48842.3684929386. The cubic root of 2385576960 is about 1336.1784933688.

The spelling of 2385576960 in words is "two billion, three hundred eighty-five million, five hundred seventy-six thousand, nine hundred sixty".