2425536000 has 240 divisors, whose sum is σ = 8738400528. Its totient is φ = 646656000.

The previous prime is 2425535951. The next prime is 2425536011. The reversal of 2425536000 is 6355242.

2425536000 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 573895 + ... + 578105.

Almost surely, 2^2425536000 is an apocalyptic number.

2425536000 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 2425536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369200264).

2425536000 is an abundant number, since it is smaller than the sum of its proper divisors (6312864528).

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

2425536000 is an equidigital number, since it uses as much as digits as its factorization.

2425536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2425536000 is about 49249.7309637322. The cubic root of 2425536000 is about 1343.5976686883.

The spelling of 2425536000 in words is "two billion, four hundred twenty-five million, five hundred thirty-six thousand".