2225404742400 has 648 divisors, whose sum is σ = 9108393525504. Its totient is φ = 507799756800.

The previous prime is 2225404742387. The next prime is 2225404742447. The reversal of 2225404742400 is 42474045222.

2225404742400 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 404 + 7 + 4 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254414827 + ... + 254423573.

It is an arithmetic number, because the mean of its divisors is an integer number (14056162848).

Almost surely, 2^{2225404742400} is an apocalyptic number.

2225404742400 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 2225404742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554196762752).

2225404742400 is an abundant number, since it is smaller than the sum of its proper divisors (6882988783104).

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

2225404742400 is a wasteful number, since it uses less digits than its factorization.

2225404742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 2225404742400 its reverse (42474045222), we get a palindrome (2267878787622).

The spelling of 2225404742400 in words is "two trillion, two hundred twenty-five billion, four hundred four million, seven hundred forty-two thousand, four hundred".