2230410220400 has 480 divisors, whose sum is σ = 6060732088320. Its totient is φ = 783820800000.

The previous prime is 2230410220391. The next prime is 2230410220403. The reversal of 2230410220400 is 40220140322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230410220403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2969920025 + ... + 2969920775.

It is an arithmetic number, because the mean of its divisors is an integer number (12626525184).

Almost surely, 2^{2230410220400} is an apocalyptic number.

2230410220400 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 2230410220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030366044160).

2230410220400 is an abundant number, since it is smaller than the sum of its proper divisors (3830321867920).

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

2230410220400 is a wasteful number, since it uses less digits than its factorization.

2230410220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2230410220400 its reverse (40220140322), we get a palindrome (2270630360722).

The spelling of 2230410220400 in words is "two trillion, two hundred thirty billion, four hundred ten million, two hundred twenty thousand, four hundred".