2224310402400 has 288 divisors, whose sum is σ = 7395864446880. Its totient is φ = 580448993280.

The previous prime is 2224310402381. The next prime is 2224310402407. The reversal of 2224310402400 is 42040134222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224310402407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49458324 + ... + 49503276.

It is an arithmetic number, because the mean of its divisors is an integer number (25680084885).

Almost surely, 2^{2224310402400} is an apocalyptic number.

2224310402400 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 2224310402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697932223440).

2224310402400 is an abundant number, since it is smaller than the sum of its proper divisors (5171554044480).

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

2224310402400 is a wasteful number, since it uses less digits than its factorization.

2224310402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45418 (or 45405 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2224310402400 its reverse (42040134222), we get a palindrome (2266350536622).

The spelling of 2224310402400 in words is "two trillion, two hundred twenty-four billion, three hundred ten million, four hundred two thousand, four hundred".