2300234340400 has 120 divisors (see below), whose sum is σ = 5583771566640. Its totient is φ = 910545223680.

The previous prime is 2300234340373. The next prime is 2300234340401. The reversal of 2300234340400 is 40434320032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2300234340401) 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, 41788096 + ... + 41843104.

It is an arithmetic number, because the mean of its divisors is an integer number (46531429722).

Almost surely, 2^{2300234340400} is an apocalyptic number.

2300234340400 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 2300234340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791885783320).

2300234340400 is an abundant number, since it is smaller than the sum of its proper divisors (3283537226240).

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

2300234340400 is a wasteful number, since it uses less digits than its factorization.

2300234340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56111 (or 56100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2300234340400 its reverse (40434320032), we get a palindrome (2340668660432).

The spelling of 2300234340400 in words is "two trillion, three hundred billion, two hundred thirty-four million, three hundred forty thousand, four hundred".