2385550440 has 896 divisors, whose sum is σ = 10576742400. Its totient is φ = 470292480.

The previous prime is 2385550423. The next prime is 2385550441. The reversal of 2385550440 is 440555832.

2385550440 is a `hidden beast` number, since 23 + 85 + 550 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2385550395 and 2385550404.

It is not an unprimeable number, because it can be changed into a prime (2385550441) 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 223 ways as a sum of consecutive naturals, for example, 76953225 + ... + 76953255.

It is an arithmetic number, because the mean of its divisors is an integer number (11804400).

Almost surely, 2^2385550440 is an apocalyptic number.

2385550440 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 2385550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288371200).

2385550440 is an abundant number, since it is smaller than the sum of its proper divisors (8191191960).

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

2385550440 is a wasteful number, since it uses less digits than its factorization.

2385550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2385550440 is about 48842.0970065782. The cubic root of 2385550440 is about 1336.1735420040.

The spelling of 2385550440 in words is "two billion, three hundred eighty-five million, five hundred fifty thousand, four hundred forty".