2225152529600 has 672 divisors, whose sum is σ = 7427712262656. Its totient is φ = 633559449600.

The previous prime is 2225152529599. The next prime is 2225152529603. The reversal of 2225152529600 is 69252515222.

It is not an unprimeable number, because it can be changed into a prime (2225152529603) 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, 155348039 + ... + 155362361.

It is an arithmetic number, because the mean of its divisors is an integer number (11053143248).

Almost surely, 2^{2225152529600} is an apocalyptic number.

2225152529600 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 2225152529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713856131328).

2225152529600 is an abundant number, since it is smaller than the sum of its proper divisors (5202559733056).

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

2225152529600 is a wasteful number, since it uses less digits than its factorization.

2225152529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 2225152529600 in words is "two trillion, two hundred twenty-five billion, one hundred fifty-two million, five hundred twenty-nine thousand, six hundred".