2222506598400 has 1344 divisors, whose sum is σ = 9068580288000. Its totient is φ = 529072128000.

The previous prime is 2222506598371. The next prime is 2222506598407. The reversal of 2222506598400 is 48956052222.

It is a happy number.

2222506598400 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 50 + 6 + 598 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222506598407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3710361301 + ... + 3710361899.

Almost surely, 2^{2222506598400} is an apocalyptic number.

2222506598400 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 2222506598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534290144000).

2222506598400 is an abundant number, since it is smaller than the sum of its proper divisors (6846073689600).

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

2222506598400 is a wasteful number, since it uses less digits than its factorization.

2222506598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2222506598400 in words is "two trillion, two hundred twenty-two billion, five hundred six million, five hundred ninety-eight thousand, four hundred".