2464425600 has 864 divisors, whose sum is σ = 10554503040. Its totient is φ = 503193600.

The previous prime is 2464425563. The next prime is 2464425617. The reversal of 2464425600 is 65244642.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 79497585 + ... + 79497615.

It is an arithmetic number, because the mean of its divisors is an integer number (12215860).

Almost surely, 2^2464425600 is an apocalyptic number.

2464425600 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 2464425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277251520).

2464425600 is an abundant number, since it is smaller than the sum of its proper divisors (8090077440).

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

2464425600 is a wasteful number, since it uses less digits than its factorization.

2464425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2464425600 is about 49642.9813770285. The cubic root of 2464425600 is about 1350.7404442890.

The spelling of 2464425600 in words is "two billion, four hundred sixty-four million, four hundred twenty-five thousand, six hundred".