2002448600 has 96 divisors (see below), whose sum is σ = 4734540720. Its totient is φ = 787537920.

The previous prime is 2002448557. The next prime is 2002448641. The reversal of 2002448600 is 68442002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002448600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4519979 + ... + 4520421.

Almost surely, 2^2002448600 is an apocalyptic number.

2002448600 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 2002448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367270360).

2002448600 is an abundant number, since it is smaller than the sum of its proper divisors (2732092120).

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

2002448600 is a wasteful number, since it uses less digits than its factorization.

2002448600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2002448600 is about 44748.7273562053. The cubic root of 2002448600 is about 1260.4350139836.

The spelling of 2002448600 in words is "two billion, two million, four hundred forty-eight thousand, six hundred".