2448652800 has 720 divisors, whose sum is σ = 9717878016. Its totient is φ = 540672000.

The previous prime is 2448652793. The next prime is 2448652807. The reversal of 2448652800 is 82568442.

It is an interprime number because it is at equal distance from previous prime (2448652793) and next prime (2448652807).

It is not an unprimeable number, because it can be changed into a prime (2448652807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78988785 + ... + 78988815.

Almost surely, 2^2448652800 is an apocalyptic number.

2448652800 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 2448652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858939008).

2448652800 is an abundant number, since it is smaller than the sum of its proper divisors (7269225216).

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

2448652800 is a wasteful number, since it uses less digits than its factorization.

2448652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2448652800 is about 49483.8640366736. The cubic root of 2448652800 is about 1347.8526079868.

The spelling of 2448652800 in words is "two billion, four hundred forty-eight million, six hundred fifty-two thousand, eight hundred".