2385137664 has 520 divisors, whose sum is σ = 8880354560. Its totient is φ = 621084672.

The previous prime is 2385137663. The next prime is 2385137707. The reversal of 2385137664 is 4667315832.

2385137664 is a `hidden beast` number, since 2 + 3 + 8 + 513 + 76 + 64 = 666.

Its product of digits (725760) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385137663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191577 + ... + 30191655.

Almost surely, 2^2385137664 is an apocalyptic number.

2385137664 is a gapful number since it is divisible by the number (24) 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 2385137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440177280).

2385137664 is an abundant number, since it is smaller than the sum of its proper divisors (6495216896).

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

2385137664 is an equidigital number, since it uses as much as digits as its factorization.

2385137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2385137664 is about 48837.8712066773. The cubic root of 2385137664 is about 1336.0964707371.

The spelling of 2385137664 in words is "two billion, three hundred eighty-five million, one hundred thirty-seven thousand, six hundred sixty-four".