2330134332400 has 120 divisors (see below), whose sum is σ = 6416870539040. Its totient is φ = 796532244480.

The previous prime is 2330134332367. The next prime is 2330134332401. The reversal of 2330134332400 is 42334310332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330134332401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291105 + ... + 2178304.

Almost surely, 2^{2330134332400} is an apocalyptic number.

2330134332400 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 2330134332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208435269520).

2330134332400 is an abundant number, since it is smaller than the sum of its proper divisors (4086736206640).

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

2330134332400 is a wasteful number, since it uses less digits than its factorization.

2330134332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469771 (or 2469760 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2330134332400 its reverse (42334310332), we get a palindrome (2372468642732).

The spelling of 2330134332400 in words is "two trillion, three hundred thirty billion, one hundred thirty-four million, three hundred thirty-two thousand, four hundred".