2330102400 has 384 divisors, whose sum is σ = 8186797440. Its totient is φ = 581222400.

The previous prime is 2330102387. The next prime is 2330102431. The reversal of 2330102400 is 42010332.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2330102400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13468714 + ... + 13468886.

It is an arithmetic number, because the mean of its divisors is an integer number (21319785).

Almost surely, 2^2330102400 is an apocalyptic number.

2330102400 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 2330102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093398720).

2330102400 is an abundant number, since it is smaller than the sum of its proper divisors (5856695040).

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

2330102400 is a wasteful number, since it uses less digits than its factorization.

2330102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2330102400 is about 48271.1342315467. The cubic root of 2330102400 is about 1325.7399261079.

Adding to 2330102400 its reverse (42010332), we get a palindrome (2372112732).

The spelling of 2330102400 in words is "two billion, three hundred thirty million, one hundred two thousand, four hundred".