2452648000 has 224 divisors, whose sum is σ = 6778556928. Its totient is φ = 871424000.

The previous prime is 2452647997. The next prime is 2452648013. The reversal of 2452648000 is 8462542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4135704 + ... + 4136296.

Almost surely, 2^2452648000 is an apocalyptic number.

2452648000 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 2452648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389278464).

2452648000 is an abundant number, since it is smaller than the sum of its proper divisors (4325908928).

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

2452648000 is a wasteful number, since it uses less digits than its factorization.

2452648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2452648000 is about 49524.2162986957. The cubic root of 2452648000 is about 1348.5852577548.

The spelling of 2452648000 in words is "two billion, four hundred fifty-two million, six hundred forty-eight thousand".