2225557712880 has 640 divisors, whose sum is σ = 8001824993280. Its totient is φ = 568189440000.

The previous prime is 2225557712879. The next prime is 2225557712941. The reversal of 2225557712880 is 882177555222.

2225557712880 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 557 + 7 + 1 + 2 + 8 + 80 = 666.

2225557712880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 820934725 + ... + 820937435.

It is an arithmetic number, because the mean of its divisors is an integer number (12502851552).

Almost surely, 2^{2225557712880} is an apocalyptic number.

2225557712880 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 2225557712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000912496640).

2225557712880 is an abundant number, since it is smaller than the sum of its proper divisors (5776267280400).

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

2225557712880 is a wasteful number, since it uses less digits than its factorization.

2225557712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 2225557712880 in words is "two trillion, two hundred twenty-five billion, five hundred fifty-seven million, seven hundred twelve thousand, eight hundred eighty".