2225245102002 has 192 divisors, whose sum is σ = 5601389189760. Its totient is φ = 632297981952.

The previous prime is 2225245101991. The next prime is 2225245102051. The reversal of 2225245102002 is 2002015425222.

It is a happy number.

2225245102002 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 2 + 451 + 0 + 200 + 2 = 666.

2225245102002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128373328 + ... + 128390660.

It is an arithmetic number, because the mean of its divisors is an integer number (29173902030).

Almost surely, 2^{2225245102002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225245102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800694594880).

2225245102002 is an abundant number, since it is smaller than the sum of its proper divisors (3376144087758).

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

2225245102002 is a wasteful number, since it uses less digits than its factorization.

2225245102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 2225245102002 in words is "two trillion, two hundred twenty-five billion, two hundred forty-five million, one hundred two thousand, two".