2385263760 has 320 divisors, whose sum is σ = 8504027136. Its totient is φ = 547430400.

The previous prime is 2385263753. The next prime is 2385263767. The reversal of 2385263760 is 673625832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2385263753) and next prime (2385263767).

It is not an unprimeable number, because it can be changed into a prime (2385263767) by changing a digit.

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, 9897240 + ... + 9897480.

Almost surely, 2^2385263760 is an apocalyptic number.

2385263760 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 2385263760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252013568).

2385263760 is an abundant number, since it is smaller than the sum of its proper divisors (6118763376).

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

2385263760 is a wasteful number, since it uses less digits than its factorization.

2385263760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2385263760 is about 48839.1621549756. The cubic root of 2385263760 is about 1336.1200156327.

The spelling of 2385263760 in words is "two billion, three hundred eighty-five million, two hundred sixty-three thousand, seven hundred sixty".