2485576400 has 60 divisors (see below), whose sum is σ = 5993422572. Its totient is φ = 990597120.

The previous prime is 2485576391. The next prime is 2485576433. The reversal of 2485576400 is 46755842.

It can be written as a sum of positive squares in 6 ways, for example, as 16679056 + 2468897344 = 4084^2 + 49688^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99584 + ... + 122016.

Almost surely, 2^2485576400 is an apocalyptic number.

2485576400 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 2485576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996711286).

2485576400 is an abundant number, since it is smaller than the sum of its proper divisors (3507846172).

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

2485576400 is a wasteful number, since it uses less digits than its factorization.

2485576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22728 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 2485576400 is about 49855.5553574524. Note that the first 3 decimals coincide. The cubic root of 2485576400 is about 1354.5936609231.

The spelling of 2485576400 in words is "two billion, four hundred eighty-five million, five hundred seventy-six thousand, four hundred".