2454648000 has 448 divisors, whose sum is σ = 9763353600. Its totient is φ = 530841600.

The previous prime is 2454647959. The next prime is 2454648013. The reversal of 2454648000 is 8464542.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3191616 + ... + 3192384.

It is an arithmetic number, because the mean of its divisors is an integer number (21793200).

Almost surely, 2^2454648000 is an apocalyptic number.

2454648000 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 2454648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881676800).

2454648000 is an abundant number, since it is smaller than the sum of its proper divisors (7308705600).

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

2454648000 is a wasteful number, since it uses less digits than its factorization.

2454648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2454648000 is about 49544.4043258167. The cubic root of 2454648000 is about 1348.9517239464.

The spelling of 2454648000 in words is "two billion, four hundred fifty-four million, six hundred forty-eight thousand".