2230334020400 has 120 divisors (see below), whose sum is σ = 5433721933824. Its totient is φ = 879675552000.

The previous prime is 2230334020309. The next prime is 2230334020427. The reversal of 2230334020400 is 40204330322.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8145725 + ... + 8415075.

Almost surely, 2^{2230334020400} is an apocalyptic number.

2230334020400 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 2230334020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716860966912).

2230334020400 is an abundant number, since it is smaller than the sum of its proper divisors (3203387913424).

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

2230334020400 is a wasteful number, since it uses less digits than its factorization.

2230334020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269659 (or 269648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 2230334020400 its reverse (40204330322), we get a palindrome (2270538350722).

The spelling of 2230334020400 in words is "two trillion, two hundred thirty billion, three hundred thirty-four million, twenty thousand, four hundred".