2225572245072 has 240 divisors, whose sum is σ = 7196403007872. Its totient is φ = 634570260480.

The previous prime is 2225572245067. The next prime is 2225572245097. The reversal of 2225572245072 is 2705422755222.

2225572245072 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 572 + 2 + 4 + 5 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122971128 + ... + 122989224.

Almost surely, 2^{2225572245072} is an apocalyptic number.

2225572245072 is a gapful number since it is divisible by the number (22) 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 2225572245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598201503936).

2225572245072 is an abundant number, since it is smaller than the sum of its proper divisors (4970830762800).

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

2225572245072 is a wasteful number, since it uses less digits than its factorization.

2225572245072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22706 (or 22697 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 2225572245072 in words is "two trillion, two hundred twenty-five billion, five hundred seventy-two million, two hundred forty-five thousand, seventy-two".