2485824768 has 288 divisors, whose sum is σ = 8516121600. Its totient is φ = 700545024.

The previous prime is 2485824767. The next prime is 2485824773. The reversal of 2485824768 is 8674285842.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485824767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4015563 + ... + 4016181.

Almost surely, 2^2485824768 is an apocalyptic number.

2485824768 is a gapful number since it is divisible by the number (28) 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 2485824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258060800).

2485824768 is an abundant number, since it is smaller than the sum of its proper divisors (6030296832).

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

2485824768 is an equidigital number, since it uses as much as digits as its factorization.

2485824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2485824768 is about 49858.0461711046. The cubic root of 2485824768 is about 1354.6387780923.

The spelling of 2485824768 in words is "two billion, four hundred eighty-five million, eight hundred twenty-four thousand, seven hundred sixty-eight".