2002368800 has 144 divisors (see below), whose sum is σ = 5355360360. Its totient is φ = 727695360.

The previous prime is 2002368793. The next prime is 2002368803. The reversal of 2002368800 is 88632002.

It can be written as a sum of positive squares in 12 ways, for example, as 868834576 + 1133534224 = 29476^2 + 33668^2 .

It is a super-2 number, since 2×2002368800² = 8018961622426880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2002368803) 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, 391862 + ... + 396938.

Almost surely, 2^2002368800 is an apocalyptic number.

2002368800 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 2002368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677680180).

2002368800 is an abundant number, since it is smaller than the sum of its proper divisors (3352991560).

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

2002368800 is a wasteful number, since it uses less digits than its factorization.

2002368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2002368800 is about 44747.8357018527. The cubic root of 2002368800 is about 1260.4182704743.

The spelling of 2002368800 in words is "two billion, two million, three hundred sixty-eight thousand, eight hundred".