2485305244800 has 1728 divisors, whose sum is σ = 11264408719200. Its totient is φ = 538014597120.

The previous prime is 2485305244787. The next prime is 2485305244801. The reversal of 2485305244800 is 84425035842.

2485305244800 is a `hidden beast` number, since 2 + 4 + 85 + 3 + 0 + 524 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×2485305244800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2485305244801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 723943884 + ... + 723947316.

Almost surely, 2^{2485305244800} is an apocalyptic number.

2485305244800 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 2485305244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632204359600).

2485305244800 is an abundant number, since it is smaller than the sum of its proper divisors (8779103474400).

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

2485305244800 is a wasteful number, since it uses less digits than its factorization.

2485305244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 2485305244800 in words is "two trillion, four hundred eighty-five billion, three hundred five million, two hundred forty-four thousand, eight hundred".