2002241300 has 72 divisors (see below), whose sum is σ = 4634562744. Its totient is φ = 748195840.

The previous prime is 2002241257. The next prime is 2002241303. The reversal of 2002241300 is 31422002.

It can be written as a sum of positive squares in 12 ways, for example, as 108076816 + 1894164484 = 10396^2 + 43522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002241303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228602 + ... + 237198.

It is an arithmetic number, because the mean of its divisors is an integer number (64368927).

Almost surely, 2^2002241300 is an apocalyptic number.

2002241300 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 2002241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317281372).

2002241300 is an abundant number, since it is smaller than the sum of its proper divisors (2632321444).

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

2002241300 is a wasteful number, since it uses less digits than its factorization.

2002241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002241300 is about 44746.4110292658. The cubic root of 2002241300 is about 1260.3915177036.

Adding to 2002241300 its reverse (31422002), we get a palindrome (2033663302).

The spelling of 2002241300 in words is "two billion, two million, two hundred forty-one thousand, three hundred".