2102304000 has 288 divisors, whose sum is σ = 7117044480. Its totient is φ = 549888000.

The previous prime is 2102303981. The next prime is 2102304019. The reversal of 2102304000 is 4032012.

It is an interprime number because it is at equal distance from previous prime (2102303981) and next prime (2102304019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5855821 + ... + 5856179.

It is an arithmetic number, because the mean of its divisors is an integer number (24711960).

Almost surely, 2^2102304000 is an apocalyptic number.

2102304000 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 2102304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558522240).

2102304000 is an abundant number, since it is smaller than the sum of its proper divisors (5014740480).

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

2102304000 is an equidigital number, since it uses as much as digits as its factorization.

2102304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2102304000 is about 45850.8887591069. Note that the first 3 decimals coincide. The cubic root of 2102304000 is about 1281.0473199129.

Adding to 2102304000 its reverse (4032012), we get a palindrome (2106336012).

The spelling of 2102304000 in words is "two billion, one hundred two million, three hundred four thousand".