2225142645300 has 432 divisors, whose sum is σ = 7215825834672. Its totient is φ = 573308928000.

The previous prime is 2225142645277. The next prime is 2225142645301. The reversal of 2225142645300 is 35462415222.

2225142645300 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 1 + 4 + 2 + 645 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1489874124816 + 735268520484 = 1220604^2 + 857478^2 .

It is a super-2 number, since 2×2225142645300² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225142645301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 643661172 + ... + 643664628.

Almost surely, 2^{2225142645300} is an apocalyptic number.

2225142645300 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 2225142645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607912917336).

2225142645300 is an abundant number, since it is smaller than the sum of its proper divisors (4990683189372).

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

2225142645300 is a wasteful number, since it uses less digits than its factorization.

2225142645300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2225142645300 in words is "two trillion, two hundred twenty-five billion, one hundred forty-two million, six hundred forty-five thousand, three hundred".