2448154800 has 960 divisors, whose sum is σ = 11159285760. Its totient is φ = 496005120.

The previous prime is 2448154789. The next prime is 2448154801. The reversal of 2448154800 is 84518442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2448154801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46191574 + ... + 46191626.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2^2448154800 is an apocalyptic number.

2448154800 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 2448154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579642880).

2448154800 is an abundant number, since it is smaller than the sum of its proper divisors (8711130960).

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

2448154800 is a wasteful number, since it uses less digits than its factorization.

2448154800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2448154800 is about 49478.8318374636. The cubic root of 2448154800 is about 1347.7612276560.

The spelling of 2448154800 in words is "two billion, four hundred forty-eight million, one hundred fifty-four thousand, eight hundred".