2448828900 has 162 divisors, whose sum is σ = 8929057410. Its totient is φ = 559722240.

The previous prime is 2448828881. The next prime is 2448828901. The reversal of 2448828900 is 98288442.

It is a happy number.

2448828900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25826724 + 2423002176 = 5082^2 + 49224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2448828901) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16336 + ... + 71864.

Almost surely, 2^2448828900 is an apocalyptic number.

2448828900 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 2448828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464528705).

2448828900 is an abundant number, since it is smaller than the sum of its proper divisors (6480228510).

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

2448828900 is a wasteful number, since it uses less digits than its factorization.

2448828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55563 (or 55546 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2448828900 is about 49485.6433725985. The cubic root of 2448828900 is about 1347.8849184277.

The spelling of 2448828900 in words is "two billion, four hundred forty-eight million, eight hundred twenty-eight thousand, nine hundred".