2228278544352 has 768 divisors, whose sum is σ = 7717673779200. Its totient is φ = 612338227200.

The previous prime is 2228278544351. The next prime is 2228278544369. The reversal of 2228278544352 is 2534458728222.

2228278544352 is a `hidden beast` number, since 2 + 2 + 2 + 82 + 78 + 5 + 443 + 52 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228278544351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7029269698 + ... + 7029270014.

It is an arithmetic number, because the mean of its divisors is an integer number (10049054400).

Almost surely, 2^{2228278544352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228278544352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858836889600).

2228278544352 is an abundant number, since it is smaller than the sum of its proper divisors (5489395234848).

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

2228278544352 is a wasteful number, since it uses less digits than its factorization.

2228278544352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 2228278544352 in words is "two trillion, two hundred twenty-eight billion, two hundred seventy-eight million, five hundred forty-four thousand, three hundred fifty-two".